Solving linear and non-linear space-time fractional reaction-diffusion equations by the Adomian decomposition method

被引：45

作者：

Yu, Q. ^{[1
]}

Liu, F. ^{[2
,3
]}

Anh, V. ^{[2
]}

Turner, I. ^{[2
]}

机构：

[1] Queensland Univ Technol, Brisbane, Qld 4001, Australia

[2] Xiamen Univ, Sch Math Sci, Xiamen 361006, Peoples R China

[3] S China Univ Technol, Sch Math Sci, Guangzhou 510640, Peoples R China

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2008年 / 74卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

fractional reaction-diffusion equation; decomposition method; space-time fractional derivative; linear/non-linear reaction;

D O I：

10.1002/nme.2165

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we consider linear and non-linear space-time fractional reaction-diffusion equations (STFRDE) on a finite domain. The equations are obtained from standard reaction-diffusion equations by replacing a second-order space derivative by a fractional derivative of order beta is an element of (1, 2], and a first-order time derivative by a fractional derivative of order alpha is an element of (0, 1]. We use the Adomian decomposition method to construct explicit solutions of the linear and non-linear STFRDE. Finally, some examples are given. Copyright (C) 2007 John Wiley & Sons, Ltd.

引用

页码：138 / 158

页数：21

共 27 条

[1] A REVIEW OF THE DECOMPOSITION METHOD IN APPLIED-MATHEMATICS [J].