Explicit difference method for solving the two-dimensional two-sided fractional diffusion equation in the shifted grunwa
Journal Title: Scientific Journal of Pure and Applied Sciences - Year 2013, Vol 2, Issue 9
Abstract
In this paper, weintroduce and discuss an algorithm for the numerical solution oftwo-dimensional two-sided fractional diffusion equation. The algorithm for thenumerical solution of this equation is based on explicit finite difference approximation.Consistency, conditional stability, and convergence of the fractional ordernumerical method are described. Finally, numerical example is provided to showthat the numerical method for solving this equation is an effectivesolution method.
Authors and Affiliations
N. M. T. Luma| Department of Mathematics, College of Education for Pure Science / Ibn Al-Haitham Baghdad University, Iraq., I. G. Iman| Department of Mathematics, College of Education for Pure Science / Ibn Al-Haitham Baghdad University, Iraq.
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