A new application of multistage homotopy perturbation method to the chaotic Rössler system

In this paper, we present a numerical scheme based on an adaptation of the standard homotopy-perturbation method (HPM) is applied to the Chaotic Rössler system. The standard HPM is converted into a hybrid numeric-analytic method called the multistage HPM (MHPM). Comparisons with the fourth-order Ru...

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Main Authors:	Chowdhury, Md. Sazzad Hossien, Razali, Nur Isnida, Sellami , Ali, Rahman, M. M.
Format:	Article
Language:	English
Published:	American Institute of Physics 2012
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/26442/1/A_new_application_of_multistage_homotopy_perturbation_method_to_the_chaotic_Rossler_system.pdf http://irep.iium.edu.my/26442/ http://proceedings.aip.org/resource/2/apcpcs/1482/1/507_1
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Institution:	Universiti Islam Antarabangsa Malaysia
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id	my.iium.irep.26442
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spelling	my.iium.irep.264422012-11-19T07:18:23Z http://irep.iium.edu.my/26442/ A new application of multistage homotopy perturbation method to the chaotic Rössler system Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Sellami , Ali Rahman, M. M. QA Mathematics In this paper, we present a numerical scheme based on an adaptation of the standard homotopy-perturbation method (HPM) is applied to the Chaotic Rössler system. The standard HPM is converted into a hybrid numeric-analytic method called the multistage HPM (MHPM). Comparisons with the fourth-order Runge-Kutta method (RK4) and standard HPM show that the MHPM is a reliable method for nonlinear equations. American Institute of Physics 2012 Article REM application/pdf en http://irep.iium.edu.my/26442/1/A_new_application_of_multistage_homotopy_perturbation_method_to_the_chaotic_Rossler_system.pdf Chowdhury, Md. Sazzad Hossien and Razali, Nur Isnida and Sellami , Ali and Rahman, M. M. (2012) A new application of multistage homotopy perturbation method to the chaotic Rössler system. AIP Conference Proceedings , 1482. pp. 507-511. ISSN 0094-243X (P), 1551-7616 (O) http://proceedings.aip.org/resource/2/apcpcs/1482/1/507_1 10.1063/1.4757523
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	QA Mathematics
spellingShingle	QA Mathematics Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Sellami , Ali Rahman, M. M. A new application of multistage homotopy perturbation method to the chaotic Rössler system
description	In this paper, we present a numerical scheme based on an adaptation of the standard homotopy-perturbation method (HPM) is applied to the Chaotic Rössler system. The standard HPM is converted into a hybrid numeric-analytic method called the multistage HPM (MHPM). Comparisons with the fourth-order Runge-Kutta method (RK4) and standard HPM show that the MHPM is a reliable method for nonlinear equations.
format	Article
author	Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Sellami , Ali Rahman, M. M.
author_facet	Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Sellami , Ali Rahman, M. M.
author_sort	Chowdhury, Md. Sazzad Hossien
title	A new application of multistage homotopy perturbation method to the chaotic Rössler system
title_short	A new application of multistage homotopy perturbation method to the chaotic Rössler system
title_full	A new application of multistage homotopy perturbation method to the chaotic Rössler system
title_fullStr	A new application of multistage homotopy perturbation method to the chaotic Rössler system
title_full_unstemmed	A new application of multistage homotopy perturbation method to the chaotic Rössler system
title_sort	new application of multistage homotopy perturbation method to the chaotic rössler system
publisher	American Institute of Physics
publishDate	2012
url	http://irep.iium.edu.my/26442/1/A_new_application_of_multistage_homotopy_perturbation_method_to_the_chaotic_Rossler_system.pdf http://irep.iium.edu.my/26442/ http://proceedings.aip.org/resource/2/apcpcs/1482/1/507_1
_version_	1643609144053202944

A new application of multistage homotopy perturbation method to the chaotic Rössler system

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