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.
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页码：11112 / 11117
页数：6
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