Title of article
A Fourier method for the fractional diffusion equation describing sub-diffusion
Author/Authors
Chen، نويسنده , , Chang-Ming and Liu، نويسنده , , F. and Turner، نويسنده , , I. and Anh، نويسنده , , V.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
12
From page
886
To page
897
Abstract
In this paper, a fractional partial differential equation (FPDE) describing sub-diffusion is considered. An implicit difference approximation scheme (IDAS) for solving a FPDE is presented. We propose a Fourier method for analyzing the stability and convergence of the IDAS, derive the global accuracy of the IDAS, and discuss the solvability. Finally, numerical examples are given to compare with the exact solution for the order of convergence, and simulate the fractional dynamical systems.
Keywords
Convergence , stability , Sub-diffusion , Implicit difference approximation , Fractional diffusion equation , Fourier method
Journal title
Journal of Computational Physics
Serial Year
2007
Journal title
Journal of Computational Physics
Record number
1480353
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