Adomian's decomposition method and homotopy perturbation method in solving nonlinear equations

被引：25
|
作者：
Li, Jian-Lin [1 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 228卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Adomian's decomposition method (ADM); Homotopy perturbation method (HPM); Nonlinear equations; ITERATIVE METHODS; CONVERGENCE; POLYNOMIALS;
D O I：
10.1016/j.cam.2008.09.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Adomian's decomposition method and the homotopy perturbation method are two powerful methods which consider the approximate solution of a nonlinear equation as an infinite series usually converging to the accurate solution. By theoretical analysis of the two methods, we show, in the present paper, that the two methods are equivalent in solving nonlinear equations. (c) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：168 / 173
页数：6
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