Application of multistage homotopy-perturbation method for the solutions of the Chen system

In this paper, a new reliable algorithm based on an adaptation of the standard homotopy-perturbation method (HPM) is applied to the Chen system which is a three-dimensional system of ODEs with quadratic nonlinearities. The HPM is treated as an algorithm in a sequence of intervals for finding accurat...

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Main Authors:	Chowdhury, Md. Sazzad Hossien, Hashim, Ishak
Format:	Article
Language:	English
Published:	Elsevier 2009
Subjects:	QA76 Computer software
Online Access:	http://irep.iium.edu.my/6643/ http://irep.iium.edu.my/6643/ http://irep.iium.edu.my/6643/ http://irep.iium.edu.my/6643/1/Application_of_multistage_homotopy-perturbation_method_for_the_solutions_of_the_Chen_system.pdf

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recordtype	eprints
spelling	iium-66432011-11-24T06:40:07Z http://irep.iium.edu.my/6643/ Application of multistage homotopy-perturbation method for the solutions of the Chen system Chowdhury, Md. Sazzad Hossien Hashim, Ishak QA76 Computer software In this paper, a new reliable algorithm based on an adaptation of the standard homotopy-perturbation method (HPM) is applied to the Chen system which is a three-dimensional system of ODEs with quadratic nonlinearities. The HPM is treated as an algorithm in a sequence of intervals for finding accurate approximate solutions to the Chen system.We shall call this technique as the multistage HPM (for short MHPM). In particular we look at the accuracy of the HPM as the Chen system changes from a nonchaotic system to a chaotic one. Numerical comparisons between the MHPM and the classical fourth-order Runge–Kutta (RK4) numerical solutions reveal that the new technique is a promising tool for the nonlinear chaotic and nonchaotic systems of ODEs. Elsevier 2009 Article PeerReviewed application/pdf en http://irep.iium.edu.my/6643/1/Application_of_multistage_homotopy-perturbation_method_for_the_solutions_of_the_Chen_system.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak (2009) Application of multistage homotopy-perturbation method for the solutions of the Chen system. Nonlinear Analysis: Real World Applications, 10 (1). pp. 381-391. ISSN 1468-1218 http://www.sciencedirect.com/science/article/pii/S1468121807001848 doi:10.1016/j.nonrwa.2007.09.014
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QA76 Computer software
spellingShingle	QA76 Computer software Chowdhury, Md. Sazzad Hossien Hashim, Ishak Application of multistage homotopy-perturbation method for the solutions of the Chen system
description	In this paper, a new reliable algorithm based on an adaptation of the standard homotopy-perturbation method (HPM) is applied to the Chen system which is a three-dimensional system of ODEs with quadratic nonlinearities. The HPM is treated as an algorithm in a sequence of intervals for finding accurate approximate solutions to the Chen system.We shall call this technique as the multistage HPM (for short MHPM). In particular we look at the accuracy of the HPM as the Chen system changes from a nonchaotic system to a chaotic one. Numerical comparisons between the MHPM and the classical fourth-order Runge–Kutta (RK4) numerical solutions reveal that the new technique is a promising tool for the nonlinear chaotic and nonchaotic systems of ODEs.
format	Article
author	Chowdhury, Md. Sazzad Hossien Hashim, Ishak
author_facet	Chowdhury, Md. Sazzad Hossien Hashim, Ishak
author_sort	Chowdhury, Md. Sazzad Hossien
title	Application of multistage homotopy-perturbation method for the solutions of the Chen system
title_short	Application of multistage homotopy-perturbation method for the solutions of the Chen system
title_full	Application of multistage homotopy-perturbation method for the solutions of the Chen system
title_fullStr	Application of multistage homotopy-perturbation method for the solutions of the Chen system
title_full_unstemmed	Application of multistage homotopy-perturbation method for the solutions of the Chen system
title_sort	application of multistage homotopy-perturbation method for the solutions of the chen system
publisher	Elsevier
publishDate	2009
url	http://irep.iium.edu.my/6643/ http://irep.iium.edu.my/6643/ http://irep.iium.edu.my/6643/ http://irep.iium.edu.my/6643/1/Application_of_multistage_homotopy-perturbation_method_for_the_solutions_of_the_Chen_system.pdf
first_indexed	2023-09-18T20:15:42Z
last_indexed	2023-09-18T20:15:42Z
_version_	1777407772956033024

Application of multistage homotopy-perturbation method for the solutions of the Chen system

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