Finite difference approximation for two-dimensional time fractional diffusion equation

被引：61

作者：

Zhuang, P. ^{[1
]}

Liu, F. ^{[1
,2
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen, Peoples R China

[2] Queensland Univ Technol, Sch Math Sci, Brisbane, Qld 4001, Australia

来源：

JOURNAL OF ALGORITHMS & COMPUTATIONAL TECHNOLOGY | 2007年 / 1卷 / 01期

基金：

中国国家自然科学基金; 澳大利亚研究理事会;

关键词：

Two-dimensional time fractional differential equation; implicit difference approximation; stability; convergence;

D O I：

10.1260/174830107780122667

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Fractional diffusion equations have recently been used to model problems in physics, hydrology, biology and other areas of application. In this paper, we consider a two-dimensional time fractional diffusion equation (2D-TFDE) on a finite domain. An implicit difference approximation for the 2D-TFDE is presented. Stability and convergence of the method are discussed using mathematical induction. Finally, a numerical example is given. The numerical result is in excellent agreement with our theoretical analysis.

引用

页码：1 / 15

页数：15

共 21 条

[1] Solution for a fractional diffusion-wave equation defined in a bounded domain [J].