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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/6643/1/Application_of_multistage_homotopy-perturbation_method_for_the_solutions_of_the_Chen_system.pdf
http://irep.iium.edu.my/6643/
http://www.sciencedirect.com/science/article/pii/S1468121807001848
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spelling my.iium.irep.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 REM 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
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
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/6643/1/Application_of_multistage_homotopy-perturbation_method_for_the_solutions_of_the_Chen_system.pdf
http://irep.iium.edu.my/6643/
http://www.sciencedirect.com/science/article/pii/S1468121807001848
_version_ 1643605780166868992
score 13.211869

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