A simple approach of enlarging convergence regions of perturbation approximations

被引：35

作者：

Liao, SJ ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Sch Naval Architecture & Ocean Engn, Shanghai 200030, Peoples R China

来源：

NONLINEAR DYNAMICS | 1999年 / 19卷 / 02期

基金：

中国国家自然科学基金;

关键词：

homotopy analysis method; enlarging convergence region; general Taylor theorem; Van der Pol equation; Riccati equation;

D O I：

10.1023/A:1008373627897

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, a simple approach to enlarging convergence regions of perturbation approximations is proposed. Based on the so-called general Taylor theorems, this approach has a solid mathematical foundation. Moreover, it is rather simple to apply. Two nonlinear equations, the Riccati equation and the Van der Pol equation are used as examples to illustrate the validity and the great potential of this approach.

引用

页码：93 / 110

页数：18

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