Quintication" method to obtain approximate analytical solutions of non-linear oscillators"

被引：29

作者：

Elías-Zúñiga, Alex ^{[1
]}

机构：

[1] Escuela Nacional de Posgrado en Ciencias, Ingenieria y Tecnologias, Tecnologico de Monterrey, Campus Monterrey, Sur, C.P. 64849 Monterrey, N.L.

来源：

Applied Mathematics and Computation | 2014年 / 243卷

关键词：

Chebyshev polynomials; Cubic-quintic Duffing-harmonic oscillator; Frequency-amplitude relation; Jacobi elliptic functions; Nonlinear oscillators;

D O I：

10.1016/j.amc.2014.05.085

中图分类号：

学科分类号：

摘要：

In this paper we propose a new approach to replace nonlinear ordinary differential equations by approximate cubic-quintic Duffing oscillators in which its coefficients depend on the initial amplitude of oscillation. It is shown that this procedure leads to angular frequency values with relative errors that are lower than those found by previously developed approximate solutions. © 2014 Elsevier Inc. All rights reserved.

引用

页码：849 / 855

页数：6

共 16 条

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