Approximate Solutions for the Nonlinear Third-Order Ordinary Differential Equations

被引：4

作者：

Karahan, M. M. Fatih ^{[1
]}

机构：

[1] Manisa Celal Bayar Univ, Dept Mech Engn, Manisa, Turkey

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2017年 / 72卷 / 06期

关键词：

Approximate Analytical Solutions; Multiple Scales Lindstedt-Poincare (MSLP) Method; Nonlinear Third-Order Ordinary Differential Equations; Perturbation Methods; Strongly Nonlinear Systems; HARMONIC-BALANCE APPROACH; PERIODIC-SOLUTIONS; PERTURBATION METHOD; SYSTEMS;

D O I：

10.1515/zna-2016-0502

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

A new perturbation method, multiple scales Lindstedt-Poincare (MSLP) is applied to jerk equations with cubic nonlinearities. Three different jerk equations are investigated. Approximate analytical solutions and periods are obtained using MSLP method. Both approximate analytical solutions and periods are contrasted with numerical and exact results. For the case of strong nonlinearities, obtained results are in good agreement with numerical and exact ones.

引用

页码：547 / 557

页数：11

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