Higher accuracy analytical approximations to a nonlinear oscillator with discontinuity by He's homotopy perturbation method
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10045/9182
Title: | Higher accuracy analytical approximations to a nonlinear oscillator with discontinuity by He's homotopy perturbation method |
---|---|
Authors: | Beléndez, Augusto | Hernández Prados, Antonio | Beléndez, Tarsicio | Neipp, Cristian | Márquez, Andrés |
Research Group/s: | Holografía y Procesado Óptico |
Center, Department or Service: | Universidad de Alicante. Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal |
Keywords: | Nonlinear oscillators | Analytical approximate solutions | Homotopy perturbation method |
Knowledge Area: | Física Aplicada |
Date Created: | 5-Sep-2007 |
Issue Date: | 17-Mar-2008 |
Publisher: | Elsevier |
Citation: | BELÉNDEZ VÁZQUEZ, Augusto, et al. "Higher accuracy analytical approximations to a nonlinear oscillator with discontinuity by He's homotopy perturbation method". Physics Letters A. Vol. 372, Issue 12 (17 March 2008). ISSN 0375-9601, pp. 2010-2016 |
Abstract: | He's homotopy perturbation method is used to calculate higher-order approximate periodic solutions of a nonlinear oscillator with discontinuity for which the elastic force term is proportional to sgn(x). We find He's homotopy perturbation method works very well for the whole range of initial amplitudes, and the excellent agreement of the approximate frequencies and periodic solutions with the exact ones has been demonstrated and discussed. Only one iteration leads to high accuracy of the solutions with a maximal relative error for the approximate period of less than 1.56% for all values of oscillation amplitude, while this relative error is 0.30% for the second iteration and as low as 0.057% when the third-order approximation is considered. Comparison of the result obtained using this method with those obtained by different harmonic balance methods reveals that He's homotopy perturbation method is very effective and convenient. |
Sponsor: | This work was supported by the “Ministerio de Educación y Ciencia”, Spain, under project FIS2005-05881-C02-02, and by the “Generalitat Valenciana”, Spain, under project ACOMP/2007/020. |
URI: | http://hdl.handle.net/10045/9182 |
ISSN: | 0375-9601 (Print) | 1873-2429 (Online) |
DOI: | 10.1016/j.physleta.2007.10.081 |
Language: | eng |
Type: | info:eu-repo/semantics/article |
Peer Review: | si |
Publisher version: | http://dx.doi.org/10.1016/j.physleta.2007.10.081 |
Appears in Collections: | INV - GHPO - Artículos de Revistas |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
PLA_v372_n12_p2010_2008.pdf | Versión revisada (acceso libre) | 485,25 kB | Adobe PDF | Open Preview |
Items in RUA are protected by copyright, with all rights reserved, unless otherwise indicated.