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 Run...

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Main Authors: Chowdhury, Md. Sazzad Hossien, Razali, Nur Isnida, Ali, Sellami, Rahman, Md. Mahmudur
Format: Conference or Workshop Item
Language:English
Published: American Institute of Physics 2012
Online Access:http://psasir.upm.edu.my/id/eprint/57633/1/A%20new%20application%20of%20multistage%20homotopy%20perturbation%20method%20to%20the%20chaotic%20R%C3%B6ssler%20system.pdf
http://psasir.upm.edu.my/id/eprint/57633/
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id my.upm.eprints.57633
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spelling my.upm.eprints.576332017-10-24T08:18:00Z http://psasir.upm.edu.my/id/eprint/57633/ A new application of multistage homotopy perturbation method to the chaotic Rössler system Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Ali, Sellami Rahman, Md. Mahmudur 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 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57633/1/A%20new%20application%20of%20multistage%20homotopy%20perturbation%20method%20to%20the%20chaotic%20R%C3%B6ssler%20system.pdf Chowdhury, Md. Sazzad Hossien and Razali, Nur Isnida and Ali, Sellami and Rahman, Md. Mahmudur (2012) A new application of multistage homotopy perturbation method to the chaotic Rössler system. In: 2nd International Conference on Fundamental and Applied Sciences (ICFAS2012), 12-14 June 2012, Kuala Lumpur Convention Centre, Kuala Lumpur. (pp. 507-511). 10.1063/1.4757523
institution Universiti Putra Malaysia
building UPM Library
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continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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 Conference or Workshop Item
author Chowdhury, Md. Sazzad Hossien
Razali, Nur Isnida
Ali, Sellami
Rahman, Md. Mahmudur
spellingShingle Chowdhury, Md. Sazzad Hossien
Razali, Nur Isnida
Ali, Sellami
Rahman, Md. Mahmudur
A new application of multistage homotopy perturbation method to the chaotic Rössler system
author_facet Chowdhury, Md. Sazzad Hossien
Razali, Nur Isnida
Ali, Sellami
Rahman, Md. Mahmudur
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://psasir.upm.edu.my/id/eprint/57633/1/A%20new%20application%20of%20multistage%20homotopy%20perturbation%20method%20to%20the%20chaotic%20R%C3%B6ssler%20system.pdf
http://psasir.upm.edu.my/id/eprint/57633/
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