Modified harmonic balance method for the solution of nonlinear jerk equations

被引：24

作者：

Rahman, M. Saifur ^{[1
]}

Hasan, A. S. M. Z. ^{[2
]}

机构：

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

[2] Rajshahi Univ Engn & Technol, Dept Civil Engn, Rajshahi 6204, Bangladesh

来源：

RESULTS IN PHYSICS | 2018年 / 8卷

关键词：

Harmonic balance method; Nonlinear equations; Jerk equations; PERIODIC-SOLUTIONS; OSCILLATOR; VIBRATION;

D O I：

10.1016/j.rinp.2018.01.030

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, a second approximate solution of nonlinear jerk equations (third order differential equation) can be obtained by using modified harmonic balance method. The method is simpler and easier to carry out the solution of nonlinear differential equations due to less number of nonlinear equations are required to solve than the classical harmonic balance method. The results obtained from this method are compared with those obtained from the other existing analytical methods that are available in the literature and the numerical method. The solution shows a good agreement with the numerical solution as well as the analytical methods of the available literature. (C) 2018 The Authors. Published by Elsevier B.V.

引用

页码：893 / 897

页数：5

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