Comparative Solution of Nonlinear Quintic Cubic Oscillator Using Modified Homotopy Perturbation Method

Comparative Solution of Nonlinear Quintic Cubic Oscillator Using Modified Homotopy Perturbation Method

We use modified homotopy perturbation method to find out the solution of nonlinear cubic quintic equation. Besides this method solution of the problem with the following methods is discussed, Energy Balance Method and He’s Frequency Formulation method and then compare the results with each other and...

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Main Authors: Muhammad Suleman, Qingbiao Wu
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2015/932905
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spelling doaj-feb3e039bb884fe4a15e2d7c6f5fd5002021-07-02T03:10:25ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/932905932905Comparative Solution of Nonlinear Quintic Cubic Oscillator Using Modified Homotopy Perturbation MethodMuhammad Suleman0Qingbiao Wu1Department of Mathematics, Zhejiang University, Hangzhou, ChinaDepartment of Mathematics, Zhejiang University, Hangzhou, ChinaWe use modified homotopy perturbation method to find out the solution of nonlinear cubic quintic equation. Besides this method solution of the problem with the following methods is discussed, Energy Balance Method and He’s Frequency Formulation method and then compare the results with each other and Global Error Method. The results show that these three methods are effective as global error method for nonlinear cubic quintic oscillator equation with multiple nonlinear terms and have different effects on the solution. In particular, the homotopy perturbation solution is quite surprising. A cubic quintic nonlinear oscillator is used as an example to compare the results.http://dx.doi.org/10.1155/2015/932905
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad Suleman
Qingbiao Wu
spellingShingle Muhammad Suleman
Qingbiao Wu
Comparative Solution of Nonlinear Quintic Cubic Oscillator Using Modified Homotopy Perturbation Method
Advances in Mathematical Physics
author_facet Muhammad Suleman
Qingbiao Wu
author_sort Muhammad Suleman
title Comparative Solution of Nonlinear Quintic Cubic Oscillator Using Modified Homotopy Perturbation Method
title_short Comparative Solution of Nonlinear Quintic Cubic Oscillator Using Modified Homotopy Perturbation Method
title_full Comparative Solution of Nonlinear Quintic Cubic Oscillator Using Modified Homotopy Perturbation Method
title_fullStr Comparative Solution of Nonlinear Quintic Cubic Oscillator Using Modified Homotopy Perturbation Method
title_full_unstemmed Comparative Solution of Nonlinear Quintic Cubic Oscillator Using Modified Homotopy Perturbation Method
title_sort comparative solution of nonlinear quintic cubic oscillator using modified homotopy perturbation method
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2015-01-01
description We use modified homotopy perturbation method to find out the solution of nonlinear cubic quintic equation. Besides this method solution of the problem with the following methods is discussed, Energy Balance Method and He’s Frequency Formulation method and then compare the results with each other and Global Error Method. The results show that these three methods are effective as global error method for nonlinear cubic quintic oscillator equation with multiple nonlinear terms and have different effects on the solution. In particular, the homotopy perturbation solution is quite surprising. A cubic quintic nonlinear oscillator is used as an example to compare the results.
url http://dx.doi.org/10.1155/2015/932905
work_keys_str_mv AT muhammadsuleman comparativesolutionofnonlinearquinticcubicoscillatorusingmodifiedhomotopyperturbationmethod
AT qingbiaowu comparativesolutionofnonlinearquinticcubicoscillatorusingmodifiedhomotopyperturbationmethod
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