Journal of Applied Mathematics & Bioinformatics

The Implicit Keller Box method for the one dimensional time fractional diffusion equation

• [ Download ]
• Times downloaded: 15710

• Abstract

  There are a number of physical situations that can be modeled by fractional partial differential equations. In this paper, we discuss a numerical scheme based on Keller’s box method for one dimensional time fractional diffusion equation with boundary values which are functions. The fractional derivative term is replaced by the Grünwald-Letnikov formula. The stability is analyzed by means of the Von Neumann method. An example is presented to show the feasibility and the accuracy of this method and a comparison between the approximate solution using this method and analytical solution is made. The results indicated that this scheme is unconditionally stable and is a feasible technique.