The homotopy analysis method to solve the Burgers-Huxley equation

被引：108

作者：

Molabahrami, A. ^{[1
,2
]}

Khani, F. ^{[1
,3
]}

机构：

[1] Ilam Univ, Dept Math, Ilam, Iran

[2] Maragheh Univ, Dept Math, Maragheh, Iran

[3] Bakhtar Inst Higher Educ, Ilam, Iran

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 02期

关键词：

Homotopy analysis method; Burgers-Huxley equation; Burgers-Fisher equation; Power-law nonlinearity; PERTURBATION METHOD; ANALYTIC SOLUTION; TANH METHOD; FLUID; FLOWS;

D O I：

10.1016/j.nonrwa.2007.10.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, an analytical technique, namely the homotopy analysis method (HAM) is applied to obtain an approximate analytical solution of the Burgers-Huxley equation. This paper introduces the two theorems which provide us with a simple and convenient way to apply the HAM to the nonlinear PDEs with the power-law nonlinearity. The homotopy analysis method contains the auxiliary parameter t, which provides us with a simple way to adjust and control the convergence region of solution series. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：589 / 600

页数：12