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
收藏
页码：589 / 600
页数：12
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