Homotopy perturbation method for Fangzhu oscillator

被引：121
|
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
相关论文
共 50 条
  • [1] Homotopy perturbation method for Fangzhu oscillator
    Ji-Huan He
    Yusry O. El-Dib
    Journal of Mathematical Chemistry, 2020, 58 : 2245 - 2253
  • [2] Homotopy perturbation method with three expansions for Helmholtz-Fangzhu oscillator
    He, Ji-Huan
    El-Dib, Yusry O.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2021, 35 (24):
  • [3] The homotopy perturbation method for a nonlinear oscillator with a damping
    Yao, Shaowen
    Cheng, Zhibo
    JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL, 2019, 38 (3-4) : 1110 - 1112
  • [4] Homotopy perturbation method for nonlinear oscillator equations
    Cai, Xu-Chu
    Wu, Wen-Ying
    CHAOS SOLITONS & FRACTALS, 2009, 41 (05) : 2581 - 2583
  • [5] Homotopy Perturbation Method for the Fractal Toda Oscillator
    He, Ji-Huan
    El-Dib, Yusry O.
    Mady, Amal A.
    FRACTAL AND FRACTIONAL, 2021, 5 (03)
  • [6] Homotopy Perturbation Method for the Attachment Oscillator Arising in Nanotechnology
    Muhammad Ali
    Naveed Anjum
    Qura Tul Ain
    Ji-Huan He
    Fibers and Polymers, 2021, 22 : 1601 - 1606
  • [7] Homotopy Perturbation Method for the Attachment Oscillator Arising in Nanotechnology
    Ali, Muhammad
    Anjum, Naveed
    Ain, Qura Tul
    He, Ji-Huan
    FIBERS AND POLYMERS, 2021, 22 (06) : 1601 - 1606
  • [8] HOMOTOPY PERTURBATION METHOD FOR FRACTAL DUFFING OSCILLATOR WITH ARBITRARY CONDITIONS
    He, Ji-Huan
    Jiao, Man-Li
    He, Chun-Hui
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2022, 30 (09)
  • [9] Series solutions of a fractional oscillator by means of the homotopy perturbation method
    Yildirim, Ahmet
    Momani, Shaher
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 87 (05) : 1072 - 1082
  • [10] The modified homotopy perturbation method with an auxiliary term for the nonlinear oscillator with discontinuity
    Pasha, Syed Ahmed
    Nawaz, Yasir
    Arif, Muhammad Shoaib
    JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL, 2019, 38 (3-4) : 1363 - 1373
12345