Comparison of homotopy perturbation method and homotopy analysis method

被引：444

作者：

He, JH ^{[1
]}

机构：

[1] Shanghai Donghua Univ, Coll Sci, Shanghai 20051, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 156卷 / 02期

关键词：

homotopy technique; perturbation method; nonlinear equation; duffing equation; modified Lindstedt-Poincare techniques; Falkner-Skan equation;

D O I：

10.1016/j.amc.2003.08.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Comparison of homotopy perturbation method (HPM) and homotopy analysis method is made, revealing that the former is more powerful than the later. Furthermore, the HPM is further developed in this paper by applying the modern perturbation methods. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：527 / 539

页数：13

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