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

被引：27
|
作者：
He, Ji-Huan [1 ,2 ,3 ]
He, Chun-Hui [1 ,4 ,5 ]
Alsolami, Abdulrahman Ali [5 ]
机构：
[1] Soochow Univ, Coll Text & Clothing Engn, Natl Engn Lab Modern Silk, Suzhou, Peoples R China
[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo, Peoples R China
[3] Xian Univ Architecture & Technol, Sch Sci, Xian, Peoples R China
[4] China Univ Min & Technol, Sch Math, Xuzhou, Jiangsu, Peoples R China
[5] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
来源：
FACTA UNIVERSITATIS-SERIES MECHANICAL ENGINEERING | 2023年 / 21卷 / 01期
关键词：
Homotopy perturbation method; Nonlinear oscillator; Periodic solution; VARIATIONAL ITERATION METHOD; EQUATIONS;
D O I：
10.22190/FUME230108006H
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
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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页码：21 / 29
页数：9
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