A GOOD INITIAL GUESS FOR APPROXIMATING NONLINEAR OSCILLATORS BY THE HOMOTOPY PERTURBATION METHOD

IF 10.1 2区工程技术 Q1 ENGINEERING, MECHANICAL Facta Universitatis-Series Mechanical Engineering Pub Date : 2023-04-10 DOI:10.22190/fume230108006h

Ji-Huan He, Chun-Hui He, Abdulrahman Alsolami

引用次数: 4

Abstract

A good initial guess and an appropriate homotopy equation are two main factors in applications of the homotopy perturbation method. For a nonlinear oscillator, a cosine function is used in an initial guess. This article recommends a general approach to construction of the initial guess and the homotopy equation. Duffing oscillator is adopted as an example to elucidate the effectiveness of the method.

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用同伦摄动法近似非线性振子的一个很好的初始猜想

良好的初始猜想和合适的同伦方程是同伦摄动方法应用的两个主要因素。对于非线性振荡器，在初始猜测中使用余弦函数。本文介绍了一种构造初始猜想和同伦方程的一般方法。以Duffing振荡器为例说明了该方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Facta Universitatis-Series Mechanical Engineering ENGINEERING, MECHANICAL-

CiteScore

14.40

自引率

2.50%

发文量

审稿时长

6 weeks

期刊介绍： Facta Universitatis, Series: Mechanical Engineering (FU Mech Eng) is an open-access, peer-reviewed international journal published by the University of Niš in the Republic of Serbia. It publishes high-quality, refereed papers three times a year, encompassing original theoretical and/or practice-oriented research as well as extended versions of previously published conference papers. The journal's scope covers the entire spectrum of Mechanical Engineering. Papers undergo rigorous peer review to ensure originality, relevance, and readability, maintaining high publication standards while offering a timely, comprehensive, and balanced review process.