Optimal Homotopy Perturbation Method for a Non-Conservative Dynamical System of a Rotating Electrical Machine-Reference-Cited by-同舟云学术

Optimal Homotopy Perturbation Method for a Non-Conservative Dynamical System of a Rotating Electrical Machine

Published:2012-09-01 Issue:8-9 Volume:67 Page:509-516
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Herişanu Nicolae¹²,Marinca Vasile¹²

Affiliation:

1. Polytechnical University of Timişoara, Bd. Mihai Viteazu, no. 1, 300222 Timişoara, Romania

2. Center for Advanced and Fundamental Technical Research, Romanian Academy, Timişoara Branch, Bd. M. Viteazu, no. 24, 300223 Timişoara, Romania

Abstract

A version of the optimal homotopy perturbation method (OHPM) is applied in this study to derive highly accurate analytical expressions for the solutions to a non-conservative dynamical system of a rotating electrical machine. The main advantage of this procedure consists of providing us with a convenient and rigorous way to control the approximate solutions by means of some initially unknown parameters which are optimally determined later. Comparisons with numerical results reveal an excellent agreement, which demonstrates the effectiveness of the proposed method in analyzing non-conservative oscillators.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.5560/zna.2012-0047/pdf

Cited by 48 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Stability analysis of heat transfer in nanomaterial flow of boundary layer towards a shrinking surface: Hybrid nanofluid versus nanofluid;Alexandria Engineering Journal;2022-12

2. Application of Optimal Homotopy Asymptotic Method with Daftardar-Jafari Polynomials to Couple System of Boussinesq Equations;International Journal of Applied and Computational Mathematics;2022-02

3. An Optimistic Solver for the Mathematical Model of the Flow of Johnson Segalman Fluid on the Surface of an Infinitely Long Vertical Cylinder;Materials;2021-12-16

4. Application of Asymptotic Homotopy Perturbation Method to Fractional Order Partial Differential Equation;Symmetry;2021-11-19

5. Approximate solution of the electrostatic nanocantilever model via optimal perturbation iteration method;Computational and Mathematical Methods;2021-09-06