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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American Institute of Physics
2012
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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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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 |
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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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