Numerical solution of Convection-Diffusion equations with memory term based on sinc method
نویسندگان
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
doi
چکیده
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.
