Asian Journal of Multidimensional Research (AJMR)
  • Year: 2015
  • Volume: 4
  • Issue: 6

Numerical method for diffusion equations

  • Author:
  • Manoj Kumar
  • Total Page Count: 11
  • Page Number: 108 to 118

Department of Mathematics, NIT, Kurukshetra, Haryana, India

Online published on 11 July, 2017.

Abstract

In this paper, we use the fractional variational iteration method (FVIM) to solve a time-fractional multi-dimensional diffusion equation, which describes density dynamics in a material undergoing diffusion. By using this method, a rapid convergent sequence tending to the exact solution of the equation can be obtained. Some numerical examples are presented to show the efficiency of the considered method.

Keywords

Variational Iteration Method, Fractional multi-dimensional diffusion equations, He's polynomials