He's variational approach for nonlinear oscillators with high nonlinearity

被引：32

作者：

Liu, Jun-Fang ^{[1
]}

机构：

[1] Donghua Univ, Coll Text, Shanghai 200051, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 11-12期

关键词：

Variational approach; Nonlinear oscillators; HOMOTOPY-PERTURBATION METHOD; LINDSTEDT-POINCARE METHODS; HARMONIC-BALANCE METHOD; ITERATION METHOD; DIFFERENTIAL-EQUATIONS; APPROXIMATE PERIOD; LIMIT-CYCLES; PARAMETER; SYSTEMS; FLOW;

D O I：

10.1016/j.camwa.2009.03.074

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper. He's variational approach is applied to the strongly nonlinear oscillators with high nonlinearity. Some examples are given to illustrate the effectiveness and convenience of this method. Comparison with the exact solutions is also made, revealing that the present method leads to accurate solutions. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：2423 / 2426

页数：4

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