Numerical solution of Convection-Diffusion equations with memory term based on sinc method

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of Sciences, Central Tehran Branch, Islamic Azad University, Tehran, Iran

2 Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran

Abstract

‎In this paper‎, ‎we study the numerical solution of Convection-Diffusion equation with a memory term subject to initial boundary value conditions‎. ‎Finite difference method in combination with product trapezoidal integration rule is used to discretize the equation in time and sinc collocation method is employed in space‎. ‎The accuracy and error analysis of the method are discussed‎. ‎Numerical examples and illustrations are presented to prove the validity of the suggested method‎.

Keywords


Volume 6, Issue 3
July 2018
Pages 380-395
  • Receive Date: 19 June 2017
  • Revise Date: 06 December 2017
  • Accept Date: 12 May 2018
  • First Publish Date: 01 July 2018