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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| Format: | Article |
| Language: | English |
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American Institute of Physics
2012
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| Online Access: | 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 |
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| 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 |
| building | IIUM 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 | 2025-11-14T15:21:08Z |
| format | Article |
| id | iium-26442 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:21:08Z |
| publishDate | 2012 |
| publisher | American Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 |
| 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 |
| 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 |
| topic | QA Mathematics |
| 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 |