Approximate solutions to Van der Pol damped nonlinear oscillators by means of He's energy balance method

被引：11

作者：

Ganji, D. D. ^{[1
]}

Esmaeilpour, M. ^{[1
]}

Soleimani, S. ^{[1
]}

机构：

[1] Babol Univ Technol, Dept Mech Engn, Babol Sar, Iran

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2010年 / 87卷 / 09期

关键词：

energy balance method; Van der Pol equation; nonconservative oscillatory system; VARIATIONAL ITERATION METHOD; POINCARE METHODS; LIMIT-CYCLES; EXPANSION;

D O I：

10.1080/00207160802562564

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, He's energy balance method (EBM) is applied to solve Van der Pol damped nonlinear oscillators. Three examples of Van der Pol oscillators are presented and solved by this method to illustrate the effectiveness and convenience of the EBM. In this method, only one iteration leads to high accuracy of the solution. Comparisons are made between EBM results and exact solutions of the problems. The results show that the method can be easily extended to other nonlinear systems and can therefore be found widely applicable in engineering and other science.

引用

页码：2014 / 2023

页数：10

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