Homotopy perturbation technique

被引：2475

作者：

He, JH ^{[1
]}

机构：

[1] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1999年 / 178卷 / 3-4期

基金：

中国国家自然科学基金;

关键词：

perturbation techniques; homotopy; nonlinearity;

D O I：

10.1016/S0045-7825(99)00018-3

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The homotopy perturbation technique does not depend upon a small parameter in the equation. By the homotopy technique in topology, a homotopy is constructed with an imbedding parameter p epsilon [0, 1], which is considered as a "smalI parameter". Some examples are given. The approximations obtained by the proposed method are uniformly valid not only for small parameters, but also for very large parameters. (C) 1999 Elsevier Science S.A. All rights reserved.

引用

页码：257 / 262

页数：6

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