➤ Rashidinia, J. etal. Collocation method for solving fractional reaction -diffusion problem arising in chemistry.
2025. doi.org/10.1038/s41598-025-05339-9
➤ Rashidinia, J. etal. Bernoulli Collocation Method for Solving Time-Fractional
Diffusion Equation Arising in Physics.
International Journal of Numerical Modelling: Electronic Networks, Devices and
fields, 2025; 38:e70052 doi.org/10.1002/jnm.70052
➤ Rashidinia, J. etal. Spectral element method for the solution of viscoelastic seismic wave propagation.
Appl. Numer. Math., 212(2025)92-109.
➤ Rashidinia, J. etal. Numerically Pricing American and European options using
a time Fractional Black -Scholes model in financial decision-making.
Alexandria Engineering Journal 112 (2025) 235–245
➤ Rashidinia, J. etal. A novel hybrid method with convergence analysis for
approximation of HTLV-I dynamics model.
Scientific Reports, (2024)14:256781
➤ Rashidinia, J. etal. A novel hybrid method with convergence analysis for
approximation of HTLV-I dynamics model.
Scientific Reports, (2024)14:256781
https://doi.org/10.1038/s41598-024-76110-9
➤ Rashidinia, J. etal. Numerical solving of multi-term time fractional diffusion-
wave equations using shifted Gegenbauer spectral collocation.
Computational Methods for Differential Equations.
DOI:10.22034/cmde.2024.6150
➤ Rashidinia, J. etal. A novel hybrid approach to approximate fractional sub-
diffusion equation.
Computational Methods for Differential Equations
DOI:10.22034/CMDE.2024.58832.2491(2024)
➤ Rashidinia, J. etal. An efficient approach for solving a class of fractional
anomalous diffusion equation with convergence.
Physica Scripta 99 (7), 075237 (2024).
➤ Rashidinia, J. etal. Solution of convection-diffusion model in groundwater
Pollution.
Scientific Reports 14 (1), 2075 (2024)
➤ Rashidinia, J. etal. An efficient spectral collocation method based on the
generalized Laguerre polynomials to multi-term time fractional diffusion-wave
equations.
AIP Advances 14 (2024)
➤ Rashidinia, J. etal. C3-Spline Methods for Solving Fractional Integro-differential
Equations.
Mathematics and Computational Sciences 5 (1), 30-42 (2024)
➤ Rashidinia, J. etal. A Bilinear Pseudo-spectral Method for Solving Two-asset
European and American Pricing Options.
Computational Economics, 2024 - Springe
➤ Rashidinia, J. etal. C3-spline for solution of second order fractional integro-
differential equations. (2024)
➤ Rashidinia, J. etal. A Bilinear Pseudo-spectral Method for Solving Two-asset
European and American Pricing Options.
Computational Economics. Volume 63, pages 893–918, (2024)
➤ Rashidinia, J. etal. Fuzzy fractional calculus: A comprehensive overview with a focus on weighted Caputo-type generalized Hukuhara differentiability and analytical solutions
Iranian Journal of Fuzzy Systems, (2024). 21 (2), 19-34
➤ Khasi, M., J. Rashidinia, and M. N. Rasoulizadeh. Fast Computing Approaches Based on a Bilinear Pseudo-Spectral Method for Nonlinear Acoustic Wave Equations.
SIAM Journal on Scientific Computing 45.4 (2023): B413-B439.
➤ Khasi, M., J. Rashidinia, A Bilinear Pseudo-spectral Method for Solving Two-asset European and American Pricing Options.
Computational Economics (2023): 1-26
➤ Davaeifar, S. and J. Rashidinia, Operational matrix approach based on two-dimensional Boubaker polynomials for solving nonlinear two-dimensional integral equations.
Journal of Computational and Applied Mathematics 421 (2023): 114831.
➤ Eftekhari, T., and J. Rashidinia, An Investigation on Existence, Uniqueness, and Approximate Solutions for Two-Dimensional Nonlinear Fractional Integro-Differential Equations.
Mathematics 11.4 (2023): 824.
➤ Eftekhari, T. and J. Rashidinia, A new operational vector approach for time‐fractional subdiffusion equations of distributed order based on hybrid functions.
Mathematical Methods in the Applied Sciences, 46(1), 2023 pp.388-407.
➤ K. Maleknejad, J. Rashidinia, T. Eftekhari, A new and efficient numerical method based on shifted fractional‐order Jacobi operational matrices for solving some classes of two‐dimensional nonlinear fractional.
Mathematical Methods in the Applied Sciences. 2023 Jan 15;46(1):388-407.
Eftekhari, T., and J. Rashidinia, A new hybrid approach for nonlinear stochastic differential equations driven by multifractional Gaussian noise. Math. Method in the Applied Sc. (2023) https://doi.org/10.1002/mma.9265
Balali, Z., N. Taheri, and J. Rashidinia, Application of Green's function and Sinc approximation in the numerical solution of the fractional differential equations. Journal of Mathematical Modeling 11.1 (2023): 187-205
AL-saedi, Akeel A., and J. Rashidinia, Numerical Approximation of a Time-Fractional Modified Equal-Width Wave Model by Using the B-Spline Weighted Residual Method. Symmetry 15.4 (2023): 891.
➤ Molavi-Arabshahi, M., J. Rashidinia, and M. Yousefi, An efficient approach for solving the fractional model of the human T-cell lymphotropic virus I by the spectral method. Journal of Mathematical Modeling (2023)
Rashidinia, J., M. Einy, and S. Ghorbanalinezhad, Quintic and Septic $C^2$-spline methods for initial fractional differential equations: Quintic and septic $C^2$-spline methods. Journal of Innovative Applied Mathematics and Computational Sciences 3.1 (2023): 35-48.
➤ T. Eftekhari, J. Rashidinia, A novel and efficient operational matrix for solving nonlinear stochastic differential equations driven by multi-fractional Gaussian noise, Applied Mathematics and Computation, Volume 429, 15 September 2022, 127218
➤ Mohammadi Rick, S., J. Rashidinia, and A. H. Refahi Sheikhani, Combination of Sinc and radial basis functions for time-space fractional diffusion equations. Journal of Mathematical Modeling 10.2 (2022): 315-329
➤ Dehghan, Z., and J. Rashidinia, Numerical solution of Coupled Viscous Burgers’ equations using RBF-QR method. Mathematical Sciences (2022): 1-8.
➤ Habibpoor, M., M. R. Alirezaee, and J. Rashidinia, Developing a Bi-Level Structure for Evaluation of Regional Bank Branch Managers Focusing on their Consumption. Croatian Operational Research Review 13.2 (2022): 137-147.
➤ Habibpoor, M., Alirezaee, M., and J. Rashidinia, Group Cost Malmquist Productivity Index: A Case Study of Bank Industry. Industrial Management Journal 14.3 (2022): 484-504.
➤ J. Rashidinia, and E. Mohmedi, Numerical solution for solving fractional parabolic partial differential equations. Computational Methods for Differential Equations 10.1 (2022): 121-143.
➤ Molavi-Arabshahi, M., Rashidinia, J., and M. Yousefi, A new mathematical model for reconstruction ECG signal based on non-polynomial cubic spline. Journal of Mathematical Modeling 10.1 (2022): 107-117.
➤ O. Nikan JAT Machado, A. Golbabai, J. Rashidinia, Numerical evaluation of the fractional Klein–Kramers model arising in molecular dynamics, Journal of Computational Physics. Volume 428, 1 March 2021, 109983
➤ J. Rashidinia, T. Eftekhari, and K. Maleknejad, Numerical solutions of two-dimensional nonlinear fractional Volterra and Fredholm integral equations using shifted Jacobi operational matrices via collocation method. Journal of King Saud University-Science 33.1 (2021): 101244.
➤ J. Rashidinia, T. Eftekhari, and K. Maleknejad, A novel operational vector for solving the general form of distributed order fractional differential equations in the time domain based on the second kind Chebyshev wavelets. Numerical Algorithms 88.4 (2021): 1617-1639.
➤ Eftekhari, T., J. Rashidinia, and K. Maleknejad, Existence, uniqueness, and approximate solutions for the general nonlinear distributed-order fractional differential equations in a Banach space. Advances in Difference Equations 2021.1 (2021): 1-22.
➤ Maleknejad, K., J. Rashidinia, and H. Jalilian, Quintic Spline functions and Fredholm integral equation. Computational Methods for Differential Equations 9.1 (2021): 211-224.
➤ J. Rashidinia, and Rasoulizadeh, M. N., Radial Basis Function generated finite difference method for the solution of Sinh-Gordon equation. TWMS J. App. and Eng. Math. V.11, N.3, 2021, pp. 893-905
➤ J. Rashidinia, Karamipour, Y., Nikan, O., The meshless methods for numerical solution of the nonlinear Klein-Gordon equation. TWMS J. App. and Eng. Math. V.11, N.2, 2021, pp. 436-447
➤ Dehghan, Z., and J. Rashidinia, Solution of Kawahara equation using a predictor-corrector and RBF-QR method. Journal of Mathematical Modeling 9.2 (2021): 185-199.
➤ J. Rashidinia, and M. Sajjadian, Continuously Bursting Simulations and Analytical Solutions of the Neocortical Neurons Model. Diff. Eqns. and Dynamical Systems 29 (2021): 751-763.
➤ Maleknejad, K., J. Rashidinia, and T. Eftekhari, Operational matrices based on hybrid functions for solving general nonlinear two-dimensional fractional integro-differential equations. Comput. and Applied Math. 39 (2020): 1-34.
➤ Rasoulizadeh, M. N., and J. Rashidinia, Numerical solution for the Kawahara equation using local RBF-FD meshless method. Journal of King Saud University-Science 32.4 (2020): 2277-2283.
➤ J. Rashidinia, K. Maleknejad, and H. Jalilian, Convergence analysis of non-polynomial spline functions for the Fredholm integral equation. International Journal of Computer Mathematics 97.6 (2020): 1197-1211.
➤ Maleknejad, K., J. Rashidinia, and T. Eftekhari, Existence, uniqueness, and numerical solutions for two-dimensional nonlinear fractional Volterra and Fredholm integral equations in a Banach space. Comput. and Applied Math. 39 (2020): 1-22.
➤ J. Rashidinia, and E. Mohmedi, Approximate solution of the multi-term time fractional diffusion and diffusion-wave equations. Computational and Applied Mathematics 39 (2020): 1-25.
➤ H. Zadvan, and J. Rashidinia, Development of non-polynomial spline and New B-spline with application to solution of Klein-Gordon equation. Comput. Meth. for Diff.Eqns, Vol. 8, No. 4, 2020, pp. 794-814.
➤ Farajeyan, K., J. Rashidinia, Jalilian, R., & Rafati Maleki, N., Application of spline to approximate the solution of singularly perturbed boundary-value problems. Computational Methods for Differential Equations 8.2 (2020): 373-388.
➤ H. Zadvan and J. Rashidinia, Tension spline method for the solution of elliptic equations. Jour. of Taibah University for Sc. 2019, Vol. 13, No. 1, 604–610
➤ J. Rashidinia, and M. Khasi, Stable Gaussian radial basis function method for solving Helmholtz equations. Computational Methods for Differential Equations 7.1 (2019): 138-151.
➤ Maleknejad, K., H. Mohammadikia, and J. Rashidinia, Analysis and solution of a class of nonlinear two-dimensional Volterra–Fredholm integral equations via hybrid of radial basis functions. Iranian Journal of Science and Technology, Transactions A: Science 43 (2019): 2253-2260.
➤ K. Maleknejad, J. Rashidinia, T. Eftekhari, Numerical solutions of distributed order fractional differential equations in the time domain using the M̈untz-Legendre wavelets approach, DOI: 10.1002/num.22548
➤ K. Maleknejad, J. Rashidinia, T. Eftekhari, Numerical solution of three-dimensional Volterra–Fredholm integral equations of the first and second kinds based on Bernstein's approximation, Applied Math. Comput, 339 (2018): 272-285
➤ J. Rashidinia, and M. N. Rasoulizadeh, Numerical methods based on radial basis function-generated finite difference (RBF-FD) for solution of GKdVB equation. Wave Motion 90 (2019): 152-167.
➤ Sharifi, S., and J. Rashidinia, Collocation method for convection-reaction-diffusion equation. Journal of King Saud University-Science 31.4 (2019): 1115-1121.
➤ Shekarabi, H., and J. Rashidinia, The Numerical Solution of Klein-Gorden Equation by Using Nonstandard Finite Difference. International Journal of Mathematical Modelling & Computations 9.3 (2019): 165-174.
➤ Sara Davaeifar, J. Rashidinia, Solution of a system of delay differential equations of multipantograph type. Journal of Taibah University for Science http://dx.doi.org/10.1016/j.jtusci.2017.03.005
➤ J. Rashidinia, and E. Mohmedi, Convergence analysis of tau scheme for the fractional reaction-diffusion equation. The European Physical Journal Plus 133.10 (2018): 402.
➤ J. Rashidinia, Sajjadian, M., Duarte, J., Januário, C., & Martins, N., On the dynamical complexity of a seasonally forced discrete SIR epidemic model with a constant vaccination strategy. Complexity 2018 (2018) 1-11.
➤ Maleknejad, K., H. Mohammadikia, and J. Rashidinia, A numerical method for solving a system of Volterra–Fredholm integral equations of the second kind based on the meshless method. Afrika Matematika 29 (2018): 955-965.
➤ J. Rashidinia, M. Khasi and G.E. Fasshauer, A stable Gaussian radial basis function method for solving nonlinear unsteady convection–diffusion–reaction equations, Computers and Maths. with Applications, vol. 75(5) (2018): 1831-1850.
➤ Sharifi, S., and J. Rashidinia, An ${cal O}(h^{8}) $ optimal B-spline collocation for solving higher order boundary value problems. Journal of Mathematical Modeling 6.1 (2018): 27-46.
➤ J. Rashidinia, and M. Sajjadian, The impact of two transformations on the solutions of second kind Fredholm integral equations system. International Journal of Applied and Computational Mathematics 4 (2018): 1-12.
➤ J. Rashidinia, M. Mahdavi and A. Sobhani, Local Collocation method for solving time dependent convection–diffusion equation. Proc. of IAM, V.7, N.1, 2018, pp.37-48
➤ J. Rashidinia, A. Parsa and R. Salehi, Sinc and Radial Basis functions for solution of Rayleigh-Stokes problem with fractional derivatives. Proceedings of the Jangjeon Mathematical Society. Vol. 21. No. 1. 2018
➤ H. S. Shekarabi, and J. Rashidinia, Three level implicit tension spline scheme for solution of convection-reaction-diffusion equation. Ain Shams Engineering Journal 9.4 (2018): 1601-1610
➤ Sh. Sharifi, J. Rashidinia, Super Convergence Method for Solution of Higher Order Boundary Value Problems. Journal of Advances in Mathematics and Computer Science 24(4): 1-24, 2017
➤ J. Rashidinia and S. Jamalzadeh, Modified B-Spline collocation approach for pricing American style Asian options. Mediterr. J. Math., 2017, DOI 10.1007/s00009-017-0913-y
➤ H. Zadvan, and J. Rashidinia, Non-polynomial spline method for the solution of two-dimensional linear wave equations with a nonlinear source term. Numerical Algorithms 74 (2017): 289-306
➤ K. Farajeyan, J. Rashidinia and R. Jalilian, Convergence of the class of methods for solutions of certain sixth-order boundary value problems. Hacettepe Journal of Mathematics and Statistics Volume 46 (5) (2017), 835-849
➤ J. Rashidinia and M. Jokar, Polynomial scaling functions for numerical solution of generalized Kuramoto-Sivashinsky equation. Applicable Analysis, 2016 http://dx.doi.org/10.1080/00036811.2015.1132310
➤ Davaeifar, S., and J. Rashidinia, Approximate solution of system of nonlinear Volterra integro-differential equations by using Bernstein collocation method. Inter. Jour. of Math. Modelling & Comput. 7.1 (2017): 79-89
➤ J. Rashidinia and H. Zadvan, Non-polynomial spline method for the solution of two-dimensional wave equations with a nonlinear source term. Numerical Algorithms, DOI 10.1007/S11075-016-0149-0
➤ M. Hasankhani, J. Rashidinia and S.Z. Borujeni, Application of different H(x) in homotopy analysis methods for solving system of linear equations. Adv. Lin. Algebra and Matrix Theory, 5 (2015), 129-137
➤ H. Vazquez-Leal, J. Rashidinia, L. Hernandez-Martinez and H. Daei-Kasmaei, A comparison of HPM, NDHPM, Pcard and Pcard-Pade methods for solving Michaelis-Menten equation. Journal of King Saud University Science, 2015, 27, 7-14
➤ J. Rashidinia and M. Jokar, Polynomial scaling functions for numerical solution of generalized Kuramoto–Sivashinsky equation. Applicable Analysis, 2016 http://dx.doi.org/10.1080/00036811.2015.1132310
➤ J. Rashidinia, G.E. Fasshauer and M. Khasi, A stable method for the evaluation of Gaussian radial basis function solutions of interpolation and collocation problems. Computers and Maths. with Applications, vol. 72 (2016) 178–193
➤ J. Rashidinia and M. Jokar, Numerical solution of nonlinear Klein-Gordon equation using polynomial wavelets. Chapter in book Springer, Intelligent Mathematics 2: Applied Mathematics and Approximation Theory. Edited by George A. Anastassiou and Oktay Duman, 2016
➤ M.R. Permoon, J. Rashidinia, A. Parsa, H. Haddadpour and R. Salehi, Application of radial basis function and sinc method for solving the forced vibration of fractional viscoelastic beam. Journal of Mechanical Science and Tech. 30(7) (2016): 3001-3008
➤ J. Rashidinia and S. Sharifi, Convergence of B-spline collocation method for solution of seventh order boundary value problems. Applied Mathematics and Computation, Volume 281, 30 April 2016, Pages 28-38
➤ J. Rashidinia & M. Jokar, Application of polynomial scaling functions for numerical solution of telegraph equation. Applicable Analysis, 95:1, 105-123, DOI: 10.1080/00036811.2014.998654
➤ M. Yousef, J. Rashidinia, M. Yousefi and M. Moudi, Numerical solution of Burgers’ equation by B-spline collocation. Afr. Mat. 2015, DOI 10.1007/s13370-016-0409-0
➤ J. Rashidinia and N. Taheri, Sinc methods involving exponential transformations to solve Lane–Emden type equations. Afr. Mat. DOI 10.1007/s13370-015-0358-z
➤ J. Rashidinia, M. Aghamohamadi and R. Ezzati, Tension spline method for solution of nonlinear Fisher equation. Applied Mathematics and Computation, Volume 249, 15 December 2014, Pages 399-407
➤ J. Rashidinia, M. Nabati and A. Barati, Sinc-Galerkin method for solving nonlinear weakly singular two point boundary value problems. International Journal of Computer Mathematics. DOI: 10.1080/00207160.2015.1085027
➤ J. Rashidinia, M. Nabati and S. Ahanj, Sinc-Galerkin Method for Solving a Class of Nonlinear Two-Point Boundary Value Problems. Bull. Iranian Math. Soc. Vol. 41 (2015), No. 2, pp. 333-352
➤ J. Rashidinia and S. Jamalzadeh, B-splines Method with Redefined Basis Functions for Solving Barrier Options Pricing Model. Intern. Jour. Math. Comput. Sc. Vol. 1, No. 2, 2015, pp. 70-75
➤ N. Ebrahimi, J. Rashidinia, Collocation method for linear and nonlinear Fredholm and Volterra integral equations. Applied Mathematics and Computation 270 (2015) 156–164
➤ J. Rashidinia, S. Jamalzadeh and E. Mohebianfar, B-Spline Collocation Approach to the Solution of Options Pricing Model. Journal of Computer Science & Computational Mathematics, Volume 4, Issue 1, March 2014
➤ J. Rashidinia, A. Barati and M. Nabati, Application of Sinc-Galerkin method to singularly perturbed parabolic convection-diffusion problems. Numer Algor. (2014) 66: 643-662
➤ J. Rashidinia, K. Maleknejad, N. Taheri, Sinc-Galerkin method for numerical solution of the Bratu’s problems. Numer. Algor. 2013, 62(1), 1-11
➤ J. Rashidinia, A. Tahmasebi, Approximate solution of linear integro-differential equations by using modified Taylor expansion method. World Journal of Model. Simul. Vol. 9 (2013) No. 4, pp. 289-301
➤ J. Rashidinia and Z. Mahmoodi, Collocation method for Fredholm and Volterra integral equations. Kybernetes Vol. 42 No. 3, 2013 pp. 400-412
➤ J. Rashidinia and M. Nabati, Sinc-Galerkin and Sinc-Collocation methods in the solution of nonlinear two-point boundary value problems. Comp. Appl. Math. (2013) 32:315–330
➤ J. Rashidinia and M. Nabati, Sinc-collocation solution for nonlinear two-point boundary value problems arising in chemical reactor theory. Malaya Journal of Matematik 4(1)(2013) 97–106
➤ J. Rashidinia, S. Jamalzadeh and F. Esfahani, Numerical Solution of One-dimensional Telegraph Equation Using Cubic Spline Collocation Method. Journal of Interpol. and Approx. in Scientific Comput. 2013 (2013) 1-8
➤ J. Rashidinia, D. Kalvand and L. Tepoyan, Approximate solution of fourth order differential equation in Neumann problem. Journal of Linear and Topological Algebra, Vol. 02, No. 04, 2013, 243-254
➤ J. Rashidinia, A. Barati, Numerical solutions of one-dimensional non-linear parabolic equations using Sinc collocation method. Ain Shams Engineering Journal (2014) xxx, xxx–xxx
➤ J. Rashidinia, Sh. Sharifi, Survey of B-spline functions to approximate the solution of mathematical problems. Mathematical Sciences 2012, 6:48
➤ J. Rashidinia, E. Najafi and A. Arzhang, An iterative scheme for numerical solution of Volterra integral equations using collocation method and Chebyshev polynomials. Mathematical Sciences 2012, 6:60
➤ Z. Mahmoodia*, J. Rashidinia & E. Babolian, B-Spline collocation method for linear and nonlinear Fredholm and Volterra integro-differential equations. Applicable Analysis, 2012, 1–16. IFirst
➤ J. Rashidinia and A. Parsa, Analytical-Numerical Solution for Nonlinear Integral Equations of Hammerstein Type. International Journal of Mathematical Modelling & Computations, Vol. 02, No. 01, 2012, 61-69
➤ J. Rashidinia and R. Mohammadi, Tension spline solution of nonlinear sine-Gordon equation. Numer Algor (2011) 56:129–142
➤ J. Rashidinia, M. Ghasemi and R. Jalilian, An O(h6) numerical solution of general nonlinear fifth-order two-point boundary value problems. Numer Algor (2010) 55:403–428
➤ J. Rashidinia, M. Ghasemi, B-spline collocation for solution of two-point boundary value problems. Journal of Computational and Applied Mathematics 235 (2011) 2325–2342
➤ J. Rashidinia and Ali Tahmasebi, Systems of nonlinear Volterra integro-differential equations. Numer Algor (2012) 59:197–212
➤ J. Rashidinia and B. Azarnavid, Regularization of backward heat conduction problem. Commun. Nonlinear Sci. Numer. Simulat. Volume 17, Issue 1, January 2012, 227-234
➤ J. Rashidinia and A. Parsa, Semi-Orthogonal spline scaling functions for solving Hammerstein integral equations. Inter. Journal of Wavelets, Multi-resolution and Information Processing, Vol. 9, No. 3, 2011, 427–443
➤ J. Rashidinia and F. Barati, Non-polynomial Quartic spline solution of boundary value problem. IJM2C, 1(1) 35-44, 2011
➤ Z. Mahmoodi, J. Rashidinia and E. Babolian, Spline collocation for nonlinear Fredholm integral equation. IJM2C, 1(1), 69-75, 2011
➤ J. Rashidinia, H. Khosravian Arab and A. Parsa, Gauss-Legendre quadrature for solution of Hammerstein integral equations. Math. Sci. 5(4), 345-354, 2011
➤ J. Rashidinia, M. Ghasemi, B-spline collocation for solution of two-point boundary value problems. Jour. Comput. Appl. Math., Vol. 235, Issue 8, 2011, 2325-2342
➤ J. Rashidinia, R. Jalilian and K. Farajeyan, Non-polynomial spline solutions for special linear tenth-order boundary value problems. World Jour. Model. Simul. V.7 No. 1, 2011, pp. 40-51
➤ J. Rashidinia, R. Mohammadi and S. H. Moatamedoshariati, Quintic spline methods for the solution of singularly perturbed boundary value problems. Int. J. Comput. Meth Eng. Sci. Mechs. Vol. 11, 2010, 247-257
➤ J. Rashidinia, Non-polynomial spline solution of fourth-order Obstacle. International Journal of Mathematical and Statistical
➤ M. Zarebnia, J. Rashidinia, Convergence of the sinc method applied to Volterra integral equations. Applications and Applied Mathematics: An International Journal, V.5 N.1, June 2010, pp. 198-216
➤ M. Zarebnia, J. Rashidinia, Approximate solution of system of Volterra integral equations with error analysis. International Journal of Computer Mathematics, V.87 N.13, 2010, pp. 3052-3062
➤ J. Rashidinia, R. Mohammadi, Tension spline approach for the numerical solution of nonlinear Klein–Gordon equation. Computer Physics Communications, Vol. 181, 2010, 78–91
➤ J. Rashidinia, R. Mohammadi, Tension spline solution of nonlinear sine-Gordon equation. Numerical Algorithm, Springer 56, 2011, pp. 129-142
➤ J. Rashidinia, R. Mohammadi, Non-Polynomial spline approximations for the solution of singularly perturbed boundary value problem. TWMS Journal of Pure and Applied Mathematics, V.1, N.2, 2010, pp. 236-251
➤ J. Rashidinia, R. Mohammadi, Sextic spline solution of variable coefficient fourth-order parabolic equations. International Journal of Computer Mathematics, Vol. 87, No. 15, 2010, pp. 3443–3454
➤ J. Rashidinia, M. Ghasemi, R. Jalilian, A collocation method for the solution of nonlinear one-dimensional parabolic equations. Math. Sci., 4(1), 87-104, 2014
➤ J. Rashidinia, R. Jalilian, Spline solution of two-point boundary value problem. Applied and Computational Mathematics, V. 9, N. 2, 2010, pp. 258-266
➤ R. Jalilian, J. Rashidinia, Convergence analysis of nonic-spline solutions for special nonlinear sixth-order boundary value problems. Commun. Nonlinear Sci. Numer. Simulat., Vol. 15, 2010, pp. 3805–3813
➤ J. Rashidinia, R. Mohammadi, S. H. Moatamedoshariati, Quintic spline methods for the solution of singularly perturbed boundary-value problems. International Journal for Computational Methods in Engineering Science and Mechanics, 11, 2010, pp. 247-257
➤ J. Rashidinia, M. Ghasemi, R. Jalilian, An O(h^6) numerical solution of general nonlinear fifth-order two-point boundary value problems. Numerical Algorithms, 2010
➤ J. Rashidinia, B. Azarnavid, Solving Fredholm integral equations of the first kind of convolution type using polynomials. Journal of Advanced Research in Applied Mathematics, Vol. 2, Issue 2, 2010, pp. 48-57
➤ J. Rashidinia, M. Ghasemi, R. Jalilian, Numerical solution of the nonlinear Klein–Gordon equation. Journal of Computational and Applied Mathematics, Volume 233, Issue 8, 15 February 2010, pp. 1866-1878
➤ R. Jalilian, J. Rashidinia, Convergence analysis of nonic-spline solutions for special nonlinear sixth-order boundary value problems. Communications in Nonlinear Science and Numerical Simulation, Volume 15, Issue 12, December 2010, pp. 3805–3813
➤ J. Rashidinia, R. Mohammadi, Tension spline approach for the numerical solution of nonlinear Klein–Gordon equation. Computer Physics Communications, Volume 181, Issue 1, January 2010, pp. 78-91
➤ M. Zarebnia, J. Rashidinia, Approximate solution of systems of Volterra integral equations with error analysis. International Journal of Computer Mathematics, Vol. 87, No. 13, 2010, pp. 3052–3062
➤ J. Rashidinia, R. Mohammadi, Numerical methods based on non-polynomial sextic spline for solution of variable coefficient fourth-order wave equations. International Journal for Computational Methods in Engineering Science and Mechanics, Volume 10, Issue 4, 2009, pp. 266–276
➤ J. Rashidinia, L. Mohammadnia, Earth surface modeling using natural cubic spline. Inter. Jour. Sc. Tech. Amirkabir, Vol. 19, No. 69, 2009, pp. 51-57
➤ J. Rashidinia, R. Jalilian, K. Farajeyan, Spline approximate solution of eighth-order boundary-value problems. International Journal of Computer Mathematics, Volume 86, Issue 8, First published 2009, pp. 1319–1333
➤ J. Rashidinia, R. Jalilian, R. Mohammadi, Quintic spline solution of boundary value problems in the plate deflection theory. Computer Science & Engineering and Electrical Engineering, Vol. 16, No. 1, 2009, pp. 53-59
➤ J. Rashidinia, R. Jalilian, R. Mohammadi, Convergence analysis of spline solution of certain two-point boundary value problems. Computer Science & Engineering and Electrical Engineering, Vol. 16, No. 2, 2009, pp. 128-136
➤ J. Rashidinia, E. R. Moghadam, Cubic spline solution of obstacle problem. Italian Journal of Pure and Applied Mathematics, No. 26, 2009, pp. 123-134
➤ J. Rashidinia, Finite difference methods for a class of two-point boundary value problems. International Journal of Engineering Science, No. 5-2, Vol. 19, 2008, pp. 67-72
➤ J. Rashidinia, M. Zarebnia, New approach for numerical solution of Volterra integral equation of the second kind. International Journal of Engineering Science, No. 5-2, Vol. 19, 2008, pp. 59-65
➤ J. Rashidinia, R. Jalilian, R. Mohammadi, Cubic spline method for two-point boundary value problems. International Journal of Engineering Sciences, No. 5-2, Vol. 19, 2008, pp. 39-43
➤ J. Rashidinia, R. Mohammadi, R. Jalilian, Spline solution of nonlinear boundary value problem. 85(10), 2008, pp. 39-52
➤ J. Rashidinia, R. Mohammadi, Non-polynomial cubic spline methods for the solution of parabolic equations. Int. J. Comput. Math., 85, No. 5, 2008, pp. 843-850
➤ Rashidinia, J. and R. Jalilian. Non-polynomial spline for solution of boundary-value problems in plate deflection theory. International Journal of Computer Mathematics, 84(10), 2007, 1483–1494.
➤ Rashidinia, J., R. Mohammadi and R. Jalilian. Spline solution of non-linear singular boundary value problems. Int. J. Comput. Math., 85(1), 2008, 39–52.
➤ Rashidinia, J. and Z. Mahmoodi. Non-polynomial spline solution of a singularly-perturbed boundary-value problems. Int. J. Contemp. Math. Sci., 2(29-32), 2007, 1581–1586.
➤ Rashidinia, J. and E. Jafarzadeh. Accelerated generalized successive overrelaxation method for least squares problems. Applied Mathematics and Computation, 186, 2007, 175–183.
➤ Rashidinia, J. and M. Zarebnia. Solution of a Volterra integral equation by the Sinc-collocation method. Journal of Computational and Applied Mathematics, 206(2), 2007, 801–813.
➤ Rashidinia, J. and M. Zarebnia. Convergence of approximate solution of system of Fredholm integral equations. Journal of Mathematical Analysis and Applications, 333(2), 1216-1227, 2007.
➤ Rashidinia, J., R. Jalilian and K. Farajeyan. Spline approximate solution of fifth-order boundary-value problem. Applied Mathematics and Computation, 192(1), 107-112, 2007.
➤ Rashidinia, J., R. Jalilian, R. Mohammadi and M. Ghasemi. Sextic spline method for the solution of a system of obstacle problems. Applied Mathematics and Computation, 190(2), 1669-1674, 2007.
➤ Rashidinia, J., R. Mohammadi and M. Ghasemi. Cubic spline solution of singularly perturbed boundary value problems with significant first derivatives. Applied Mathematics and Computation, 190(2), 1762-1766, 2007.
➤ Rashidinia, J., R. Jalilian and V. Kazemi. Spline methods for the solutions of hyperbolic equations. Applied Mathematics and Computation, 190(1), 882-886, 2007.
➤ Rashidinia, J., M. Ghasemi and Z. Mahmoodi. Spline approach to the solution of a singularly-perturbed boundary-value problems. Applied Mathematics and Computation, 189(1), 72-78, 2007.
➤ Rashidinia, J. and M. Zarebnia. The numerical solution of integro-differential equation by means of the Sinc method. Applied Mathematics and Computation, 188(2), 1124-1130, 2007.
➤ Rashidinia, J., R. Jalilian and R. Mohammadi. Non-polynomial spline methods for the solution of a system of obstacle problems. Applied Mathematics and Computation, 188(2), 1984-1990, 2007.
➤ Rashidinia, J., Z. Mahmoodi and M. Ghasemi. Parametric spline method for a class of singular two-point boundary value problems. Applied Mathematics and Computation, 188(1), 58-63, 2007.
➤ Rashidinia, J., R. Mohammadi, R. Jalilian and M. Ghasemi. Convergence of cubic-spline approach to the solution of a system of boundary-value problems. Applied Mathematics and Computation, 192, 319-331, 2007.
➤ Rashidinia, J., R. Jalilian, R. Mohammadi. Comment on the paper “A class of methods based on non-polynomial spline functions for the solution of a special fourth-order boundary-value problems with engineering applications”. Applied Mathematics and Computation, 86(2), 1572-1580, 2007.
➤ Rashidinia, J. and E. Jafarzadeh. Accelerated generalized successive over relaxation method for least squares problems. Applied Mathematics and Computation, 186(1), 175-183, 2007
➤ Rashidinia, J., M. Zarebnia. New approach for numerical solution of Hammerstein integral equations. Applied Mathematics and Computation, 185(1), 147-154, 2007.
➤ Rashidinia, J., R. Mohammadi, R. Jalilian. The numerical solution of non-linear singular boundary value problems arising in physiology. Applied Mathematics and Computation, 185(1), 360-367, 2007.
➤ Rashidinia, J., M. Zarebnia. The numerical solution of integro-differential equation by means of the sinc method. Applied Mathematics and Computation, 188, 1124-1130, 2007.
➤ Rashidinia, J.. High order methods for solving two-point boundary value problem. IUST International Journal of Engineering and Science, 17(2), 15-21, 2006.
➤ Rashidinia, J., R. Mohammadi, R. Jalilian. Spline methods for the solution of Hyperbolic equation with variable coefficients. Numerical Methods for Partial Differential Equations, doi: 10.1002/num.20229.
➤ Rashidinia, J., A. Golbabaee. Convergence of numerical solution of a fourth-order boundary value problem. Applied Mathematics and Computation, 171(2), 1296-1305, 2005.
➤ Rashidinia, J. and M. Zarebnia. Numerical solution of linear integral equations by using Sinc–collocation method. Applied Mathematics and Computation, 168(2), 806-822, 2005.
➤ Aziz, T., Khan, A., Rashidinia, J.. Spline methods for the solution of fourth-order parabolic partial differential equations. Applied Mathematics and Computation, 167(1), 153-166, 2005.
➤ Rashidinia, J.. High order methods for singular two-point B.V.Ps. Inter. Jour. Engg. Sc., 17(2), 15-22, 2006.
➤ Rashidinia, J.. Variable mesh method for a singular two-point boundary value problem. Int. J. Engg. Sc., 14(5), 23-33, 2003.
➤ Rashidinia, J.. Direct methods for solution of a linear 4th–order two-point B.V.P. Inter. J. of Engg. Sc., 13(4), 37-48, 2002.
➤ Rashidinia, J.. Spline solution of 4th–order parabolic P.D.Es. Inter. J. of Appl. Sci. & Comput., 3, 1999.
➤ Rashidinia, J.. Quintic spline solution of 4th–order two-point B.V.P. Inter. J. of Appl. Sci. & Comput., 3, 191-197, 1997.
➤ Rashidinia, J. and M. Zarebnia. The numerical solution of integro-differential equation by means of the sinc method. Applied Mathematics and Computation, doi:10.1016/j.amc.2006.10.063
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🔹 Rashidinia, J., A. Parsa, New analytic solution of Fredholm linear integro-differential equations, International conference on computer engineering and mathematical sciences, Malaysia, August, 27-28, 2012.
🔹Rashidinia, J., L. Tpoyan, D. Khalvand, Study analysis and numerical existence and uniqueness of neuman problem for fourth order ordinary differential equations, Proc. Of the 9th Seminar on differential equations and Dynamical systems, Tabriz, Iran, July 11-13, 2012.
🔹 Rashidinia, J., Application of the spline functions for solving differential equations, the 5th conference on numerical analysis and its application, Vali asr university of Rafsanjan, 9-10, September, 2014, Iran. (Invited Lecturer)
🔹 Rashidinia, J. and M. Sajjadian, Approximate solution of thin film evolution equation on a vertical substrate, The 11th Seminar of Differential Equations and Dynamical systems, June 23-25, 2014, Damghan, Iran
🔹 Rashidinia, J. and M. Sajjadian, Single and double exponential transformations on sinc-collocation method for solving system of Fredholm integral equations, The 45th Annual Iranian Mathematics Conference, August 26-29, 2014, Semnan, Iran.
🔹 Rashidinia, J. and S. Jamalzadeh, Solution of certain option pricing model by B-spline collocation method, The 45th Annual Iranian Mathematics Conference, August 26-29, 2014, Semnan, Iran.
🔹 Rashidinia, J. and A. Barati and M. Nabati, Application of Sinc-Galerkin method to singularly perturbed parabolic convection diffusion problems, Numer. Alghor. 66(3), 2014.
🔹 Rashidinia, J. et al., Numerical solution of KleinL-Gordon Equation using non–Polynomial spline, IMC44 Ferdousi Mashhad University, 2013.
🔹 Rashidinia, J. et al., Wavelet Method for Nonlinear Klein-Gordon Equation, 5th Iranian Conference on Applied Mathematics, September 2-4, 2013, Bu-Ali Sina University.
🔹 Rashidinia, J. et al., Numerical solution of Klein-Gordon equation using non-polynomial quintic spline, 4th Conference on Mathematical Analysis and its Applications, Faculty of Khansar, Khansar, Iran, May 7-8, 2013.
🔹 Rashidinia, J. and A. Barati, Sinc-Galerkin method for numerical solution of time-dependent linear convection-difusion equation, The 43rd Annual Iranian Mathematics Conference, University of Tabriz, August 2012, Tabriz, Iran.
🔹 Rashidinia, J. et al., Numerical solution of the nonlinear Fredholm integral equations of the second kind by radial basis functions, The 43rd Annual Iranian Mathematics Conference, University of Tabriz, August 2012, Tabriz, Iran.
🔹 Rashidinia, J. et al., Sinc-Galerkin method based on the DE transformation for solution of the nonlinear Lane-Emden type equations arising in astrophysics, The 43rd Annual Iranian Mathematics Conference, University of Tabriz, August 2012, Tabriz, Iran.
🔹 Rashidinia, J. and H. Sadeghi, Finite volume method for solution of Elliptic differential equations, The 9th Seminar on Differential Equations and Dynamical Systems, Tabriz, Iran, July 11-13, 2012.
🔹 Rashidinia, J. and N. Taheri, Sinc-Galerkin method for numerical solution of the Bratu's problem, 42nd Annual Iranian Mathematics Conference, 5-8 Sept. 2011, Valie-Asr Rafsanjan.
🔹 Rashidinia, J., S. Ghasemi and S. M. Khademiyan, A criteria for comparison of classes of third order Runge-Kutta methods, 42nd Annual Iranian Mathematics Conference, 5-8 Sept. 2011, Valie-Asr Rafsanjan.
🔹 Rashidinia, J., R. Mohammadi, Spline solution of generalized sine-Gordon equation, The 23rd International Conference of Jangjeon Mathematical Society, February 2010, Ahvaz, Iran.
🔹 Rashidinia, J., Spline Methods for solution of third-order boundary value problems, The 2nd International Conference on Mathematical Sciences, November 2010, University Kebangsaan Malaysia.
🔹 Rashidinia, J., F. Akbarifard, Finite element method and surface elliptic equations, 41st Annual Iranian Mathematics Conference, September 2010, University of Urmia, Urmia, Iran.
🔹 Rashidinia, J., M. Hajisadeghi, Finite Volume method for solution of diffusion equation, 41st Annual Iranian Mathematics Conference, September 2010, University of Urmia, Urmia, Iran.
🔹 Rashidinia, J., A. Tahmasebi, Modified Taylor expansion method for a class of linear Volterra-Fredholm integri-differential equations, National Conference of Mathematics and its Application, اردیبهشت 91, دانشگاه ملایر.
🔹 Rashidinia, J., R. Yarmohamadi, Orthogonal spline collocation for Non-linear elliptic B.V.Ps, 41st Annual Iranian Mathematics Conference, September 2010, University of Urmia, Urmia, Iran.
🔹 Rashidinia, J., Jalilian and Mohammadi, Non-Polynomial spline methods for solution of nonlinear second-order Two-point B.V.P, 39th Annual Iranian Mathematics Conference, August 2008, Kerman, Iran.
🔹 Rashidinia, J., Survey of splines, Invited speaker in International Conference on Recent Trends in Mathematics and its Application, March 30-31, 2009, Department of Mathematics, Jamia Millia Islamia, New Delhi, India.
🔹 Rashidinia, J., M. Satorzan, Septic C2-spline collocation for initial value problem, 40th Annual Iranian Mathematics Conference, Sharif University of Technology, August 17-20, 2009.
🔹 Rashidinia, J., S. Ezatravesh, Finite-Difference Methods for Solution of Advection–Dispersion Equation with Linear Adsorption, Sharif University of Technology, August 17-20, 2009.
🔹 Rashidinia, J., Sextic spline approximations for the solution of singularly-perturbed boundary value problems, The Second International Conference on Control and Optimization with Industrial Applications, Baku, Azerbaijan, June 2-4, 2008.
🔹 Rashidinia, J., Spline solution of two-point boundary value problems, The Second International Conference on Control and Optimization with Industrial Applications, Baku, Azerbaijan, June 2-4, 2008.
🔹 Z. Mahmoodi, J. Rashidinia, Finite difference methods for a class of two-point boundary value problems, Conference on Control and Optimization with Industrial Applications, Baku, Azerbaijan, June 2-4, 2008.
🔹 Rashidinia, J., Jalilian and Mohammadi, Non-polynomial Spline methods for the solution of third-order B.V.Ps, 38th Annual Iranian Mathematics Conference, September 2007, University of Zanjan, Iran.
🔹 Rashidinia, J., Zarebnia, Solution of Non-Linear Volterra-Hammerstein integral equations Via Sinc Function, 38th Annual Iranian Mathematics Conference, September 2007, University of Zanjan, Iran.
🔹 Rashidinia, J., Farajian, Quintic Spline method for B.V.Ps, 37th Annual Iranian Mathematics Conference, September 2006, Tabriz, Iran.
🔹 Rashidinia, J., Jalilian and Mohammadi, Non-polynomial Spline methods for the solution of system of obstacle problems, 37th Annual Iranian Mathematics Conference, September 2006, Tabriz, Iran.
🔹 Rashidinia, J., Modification of quintic spline approximation, Proceeding of ICMSAO, Sharjah, UAE, February 1-3, 2005.
🔹 Rashidinia, J., Zarebnia, Numerical Solution of Volterra Integral equations of the second kind, 36th Conference on Control and Optimization with Industrial Applications, Baku, Azerbaijan, September 2005.
🔹 Rashidinia, J., Sinc-Galerkin method for solution of boundary value problem in plate deflection theory, Proceeding of ICMSAO, Sharjah, UAE, February 1-3, 2005.
🔹 Rashidinia, J., Numerical solution of initial value problems based on Sinc method, 35th Annual Iranian Mathematics Conference, Shahid Chamran University, Ahvaz, Jan. 2005.
🔹 Rashidinia, J., Lagrange bivariate interpolation and their application in economics, 35th Annual Iranian Mathematics Conference, Shahid Chamran University, Ahvaz, Jan. 2005.
🔹 Rashidinia, J., Jalilian, Generalized divided difference and computation of sum rational functions integrals, 35th Annual Iranian Mathematics Conference, Shahid Chamran University, Ahvaz, Jan. 2005.
🔹 Rashidinia, J., Numerical solution of Volterra integral equations of the second kind, IMC, Yazd University, 2005.
🔹 Rashidinia, J., A New Approach and Mechanical solver for linear systems of equations, 34th Annual Iranian Mathematics Conference, Shahrood, 2003.
🔹 Rashidinia, J., Spline Algorithm for class of singular Two-point B.V.Ps, Proc. of first I.C.G.C., Amirkabir University of Technology, 2001.
🔹 Rashidinia, J., M. Zarebnia, Convergence of Sinc method for solution of boundary value problem and their application, 33rd Annual Iranian Mathematics Conference, August 2002, Ferdowsi University, Mashhad, Iran.
🔹 Rashidinia, J., Numerical Solution of Conservation law based on parametric Spline, 32nd Annual Iranian Mathematics Conference, August 2001, Babolsar, Iran.
🔹 Rashidinia, J., Splines and singular boundary value problem, 32nd Annual Iranian Mathematics Conference, August 2001, Babolsar, Iran.
🔹 Rashidinia, J., Convergence of Sinc method for solution of two-point boundary value problem and their application, 32nd Annual Iranian Mathematics Conference, August 2001, Babolsar, Iran.
🔹 Rashidinia, J., Spline Algorithm for a Class of singular two-point boundary value problem, The first International Seminar on Graph, Combinatorics, Computational Algorithms and Applications, 31st January 2001.
🔹 Rashidinia, J., Spline Approximation for Singular Two-point B.V.Ps., Proc. of 2nd ICAM, Oct 25-27, 2000, IUST.
🔹 Rashidinia, J., Spline Solution of 4th-order Two-point Non-linear B.V.P., Proc. of the 26th AIMC, March 28-31, 1995.
🔹 Rashidinia, J., Spline Methods for Solution of a 4th-order Two-point B.V.Ps., Proc. of 25th AIMC, 1994.
🔹 Rashidinia, J., Spline Function Approximation for I.B.V.P in Parabolic P.D.Es., Proc. of 4th S.I.S., Poona, India, 1993.
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