Homotopy perturbation method for Fangzhu oscillator

被引：126
作者：
He, Ji-Huan [1 ,2 ,3 ]
El-Dib, Yusry O. [4 ]
机构：
[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo, Henan, Peoples R China
[2] Xian Univ Architecture & Technol, Sch Sci, Xian, Peoples R China
[3] Soochow Univ, Natl Engn Lab Modern Silk, Coll Text & Clothing Engn, 199 Ren Ai Rd, Suzhou, Peoples R China
[4] Ain Shams Univ, Dept Math, Fac Educ, Cairo, Egypt
来源：
JOURNAL OF MATHEMATICAL CHEMISTRY | 2020年 / 58卷 / 10期
关键词：
Homotopy perturbation method; Frequency expansion method; Periodic solution; Fangzhu oscillator; PART; 1; FREQUENCY; ADHESION;
D O I：
10.1007/s10910-020-01167-6
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
An accurate frequency-amplitude relationship is very needed to elucidate the properties of the oldest device of Fangzhu for collecting water from the air. The Fangzhu oscillator was derived and solved approximately (He et al. in Math Methods Appl Sci, 2020, 10.1002/mma.6384), here we show that the singular Duffing-like oscillator can be more effectively solved by the homotopy perturbation method and a criterion is obtained for the existence of a periodic solution for the singular differential equation. The results obtained in this paper are helpful for the optimal design of the Fangzhu device.
引用
收藏
页码：2245 / 2253
页数：9
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