Main Subjects = Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
Numerical solution for an ‎inverse source problem of a ‎‎‎fractional order diffusion-wave equation

Articles in Press, Accepted Manuscript, Available Online from 25 June 2025

10.22034/cmde.2025.61173.2630

Maryam Ebrahimi; Mashallah Matinfar; Afshin Babaei


A New Perspective for Simulations of Equal-Width Wave Equation

Articles in Press, Accepted Manuscript, Available Online from 29 June 2025

10.22034/cmde.2025.62400.2747

Selçuk Kutluay; Nuri Murat Yağmurlu; Ali Sercan Karakaş


ROBUST NUMERICAL APPROACH FOR SINGULARLY PERTURBED PARABOLIC PROBLEMS WITH DISCONTINUOUS CONVECTION COEFFICIENTS AND SOURCE TERMS

Articles in Press, Accepted Manuscript, Available Online from 25 August 2025

10.22034/cmde.2025.63426.2831

Shegaye Lema Cheru; Gemechis File Duressa; Tariku Birabasa Mekonnen


Application of the meshless interpolating element-free Galerkin method for the numerical solution of obstacle problem

Articles in Press, Accepted Manuscript, Available Online from 01 September 2025

10.22034/cmde.2025.64932.2959

Ahmed Awad Nasser; Masoud Allame; Habeeb Abed Kadhim Aal-Rkhais; Majid Tavassoli Kajani


Second-Order Convergence Scheme for Singularly Perturbed Unsteady Problems with Boundary Turning Points

Articles in Press, Accepted Manuscript, Available Online from 15 September 2025

10.22034/cmde.2025.63643.2841

Yimesgen Mehari Kebede; Awoke Andargie Tiruneh; Endalew Getnet Tsega


A new method for increasing the accuracy of the fifth-order WENO scheme

Articles in Press, Accepted Manuscript, Available Online from 11 October 2025

10.22034/cmde.2025.65032.2973

Hossein Mahmoodi Darian


Numerical Solution of Fractional Reaction-Diffusion Equations using an Advanced Physics-Informed Neural Network

Articles in Press, Accepted Manuscript, Available Online from 01 February 2026

10.22034/cmde.2025.65970.3065

Maryam Mohammadi; Reza Mokhtari; Mohadese Ramezani


Newton-multigrid method for nonlinear silicon problem with relaxing boundary conditions

Articles in Press, Accepted Manuscript, Available Online from 20 April 2026

10.22034/cmde.2026.67988.3259

Adriano Rodrigues de Melo; Marcio Augusto Villela Pinto; Sebastião Romero Franco; Priscila Dombrovski Zen


Two-dimensional temporal fractional advection-diffusion problem resolved through the Sinc-Galerkin method

Volume 13, Issue 3, July 2025, Pages 1047-1058

10.22034/cmde.2024.60039.2560

Ali Safaei; Amir Hossein Salehi Shayegan; Mohammad Shahriari