An analytic study of Fisher's equation by using Adomian decomposition method

被引：181

作者：

Wazwaz, AM ^{[1
]}

Gorguis, A

机构：

[1] St Xavier Univ, Dept Math, Chicago, IL 60655 USA

[2] NE Illinois Univ, Dept Math, Chicago, IL 60625 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 154卷 / 03期

关键词：

Fisher's equation; generalized Fisher's equation; nonlinear diffusion; Adomian decomposition method;

D O I：

10.1016/S0096-3003(03)00738-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we develop a framework to obtain exact solutions to Fisher's equation and to a nonlinear diffusion equation of the Fisher type by employing Adomian decomposition method. The proposed scheme is supported by examining nonlinear diffusion equations of the Fisher type. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：609 / 620

页数：12

共 22 条

[1]

ABLOWITZ MJ, 1979, B MATH BIOL, V41, P835, DOI 10.1007/BF02462380

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