Higher accuracy analytical approximations to nonlinear oscillators with discontinuity by energy balance method

被引：25

作者：

Molla, M. Helal Uddin ^{[1
]}

Alam, M. S. ^{[1
]}

机构：

[1] Rajshahi Univ Engn & Technol, Dept Math, Rajshahi 6204, Bangladesh

来源：

RESULTS IN PHYSICS | 2017年 / 7卷

关键词：

Energy balance method; Perturbation method; Nonlinear oscillators; Constant force oscillator; HOMOTOPY PERTURBATION METHOD; PERIODIC-SOLUTIONS; HARMONIC-BALANCE;

D O I：

10.1016/j.rinp.2017.06.037

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A modified energy balance method (EBM) has been presented to obtain higher-order approximate periodic solutions from the integral expression (i.e., first order differential equation) of some nonlinear oscillators. It has been shown that the method is more effective than the classical EBM as well as some recently developed approaches such as homotopy perturbation method, harmonic balance method and iterative method. (C) 2017 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license.

引用

页码：2104 / 2110

页数：7

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