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...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
American Institute of Physics
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57633/ 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 |
| _version_ | 1848853420904022016 |
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| author | Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Ali, Sellami Rahman, Md. Mahmudur |
| author_facet | Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Ali, Sellami Rahman, Md. Mahmudur |
| author_sort | Chowdhury, Md. Sazzad Hossien |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T10:53:42Z |
| format | Conference or Workshop Item |
| id | upm-57633 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:53:42Z |
| publishDate | 2012 |
| publisher | American Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| 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 |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/57633/ http://psasir.upm.edu.my/id/eprint/57633/ 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 |