Application of the elliptic balance method to a nonlinear singular oscillator

被引：9

作者：

Elias-Zuniga, Alex ^{[1
]}

Rodriguez, Ciro A. ^{[1
]}

Martinez-Romero, Oscar ^{[1
]}

机构：

[1] Tecnol Monterrey, Dept Ingn Mecan, Monterrey 64849, NL, Mexico

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 22期

关键词：

Jacobian elliptic functions; Nonlinear oscillators; Elliptic balance; Harmonic balance; Singular oscillator; HARMONIC-BALANCE; PERIODIC-SOLUTIONS; EQUATIONS;

D O I：

10.1016/j.amc.2012.04.067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

New analytical approximate solutions based on Jacobi elliptic functions are formulated to compute the angular frequency value of a nonlinear singular oscillator. It is shown that when our derived analytical angular frequency solutions are compared to the exact angular frequency value, the third-order elliptic balance solution provides the best estimate to the exact value since the percentage error value is about 0.0059% which is 216 times lower than the best estimate percentage error value reported in the literature. (c) 2012 Elsevier Inc. All rights reserved.

引用

页码：11112 / 11117

页数：6

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