Title of article :
Numerical solution of ConvectionDiffusion equations with memory term based on sinc method
Author/Authors :
Fahim ، Atefeh - Islamic Azad University, Central Tehran Branch , Fariborzi Araghi ، Mohammad Ali - Islamic Azad University, Central Tehran Branch
Abstract :
In this paper, we study the numerical solution of ConvectionDiffusion 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 :
Partial integrodifferential equation , Sinc Collocation method , Finite difference method , Product trapezoidal integration rule , Convectiondiffusion equation
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations