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

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/
http://irep.iium.edu.my/26442/
http://irep.iium.edu.my/26442/
http://irep.iium.edu.my/26442/1/A_new_application_of_multistage_homotopy_perturbation_method_to_the_chaotic_Rossler_system.pdf
id iium-26442
recordtype eprints
spelling iium-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 PeerReviewed 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
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
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/
http://irep.iium.edu.my/26442/
http://irep.iium.edu.my/26442/
http://irep.iium.edu.my/26442/1/A_new_application_of_multistage_homotopy_perturbation_method_to_the_chaotic_Rossler_system.pdf
first_indexed 2023-09-18T20:39:24Z
last_indexed 2023-09-18T20:39:24Z
_version_ 1777409263961899008

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