New Homotopy Perturbation Method to Solve Non-Linear Problems

被引:34
|
作者
Rabbani, M. [1 ]
机构
[1] Islamic Azad Univ, Dept Math, Sari Branch, Sari, Iran
来源
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2013年 / 7卷 / 04期
关键词
Non-linear; Differential Equations; Homotopy; Perturbation; Galerkin Method;
D O I
10.22436/jmcs.07.04.06
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, we introduce a new homotopy perturbation method (NHPM) for solving non-linear problems, such that it can be converted a non-linear differential equations to some simple linear differential. We will solve linear differential equation by using analytic method that it is better than the variational iteration method and to find parameter., we use projection method, which is easier and decrease computations in comparison with similar works. Also in some of the references perturbation method are depend on small parameter but in our proposed method it is not depend on small parameter, finally we will solve some example for illustrating validity and applicability of the proposed method.
引用
收藏
页码:272 / 275
页数:4
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