Numerical solution of two-dimensional nonlinear differential equation by homotopy perturbation method

被引：19
作者：
Ghasemi, M. [1 ]
Kajani, M. Tavassoli
Davari, A.
机构：
[1] Shahrekord Univ, Dept Math, Shahr E Kord, Iran
[2] Islamic Azad Univ, Dept Math, Khorasgan, Isfahan, Iran
[3] Isfahan Univ, Dept Math, Esfahan, Iran
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 189卷 / 01期
关键词：
homotopy perturbation method; nonlinear two-dimensional wave equation; self-cancelling noise terms;
D O I：
10.1016/j.amc.2006.11.164
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, an application of homotopy perturbation method is applied to solve the nonlinear two-dimensional wave equation. The analytic solution of the nonlinear wave equation is calculated in the form of a series with easily computable components. The non-homogenous equation is effectively solved by employing the phenomena of the self-canceling "noise" terms, where sum of components vanishes in the limit. Comparing the methodology with some known techniques shows that the present approach is powerful and reliable. Its remarkable accuracy properties are finally demonstrated by an example. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：341 / 345
页数：5
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