Application of multistage homotopy perturbation method to the chaotic Genesio System
Finding accurate solution of chaotic system by using efficient existing numerical methods is very hard for its complex dynamical behaviors. In this paper, the multistage homotopy-perturbation method MHPM is applied to the Chaotic Genesio system. The MHPM is a simple reliable modification based on...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2012
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/28222/ http://irep.iium.edu.my/28222/1/Application_of_Multistage_Homotopy_Perturbation_Method_to_the_Chaotic_Genesio_System.pdf |
| _version_ | 1848779936689553408 |
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| author | Chowdhury, Md. Sazzad Hossien Hashim, Ishak Momani, Shaher Mohammad Rahman, M. M. |
| author_facet | Chowdhury, Md. Sazzad Hossien Hashim, Ishak Momani, Shaher Mohammad Rahman, M. M. |
| author_sort | Chowdhury, Md. Sazzad Hossien |
| building | IIUM Repository |
| collection | Online Access |
| description | Finding accurate solution of chaotic system by using efficient existing numerical methods is very
hard for its complex dynamical behaviors. In this paper, the multistage homotopy-perturbation
method MHPM is applied to the Chaotic Genesio system. The MHPM is a simple reliable
modification based on an adaptation of the standard homotopy-perturbation method HPM.
The HPM is treated as an algorithm in a sequence of intervals for finding accurate approximate
solutions to the Chaotic Genesio system. Numerical comparisons between the MHPM and the
classical fourth-order Runge-Kutta �RK4� solutions are made. The results reveal that the new
technique is a promising tool for the nonlinear chaotic systems of ordinary differential equations. |
| first_indexed | 2025-11-14T15:25:42Z |
| format | Article |
| id | iium-28222 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:25:42Z |
| publishDate | 2012 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-282222013-02-13T17:40:16Z http://irep.iium.edu.my/28222/ Application of multistage homotopy perturbation method to the chaotic Genesio System Chowdhury, Md. Sazzad Hossien Hashim, Ishak Momani, Shaher Mohammad Rahman, M. M. QA76 Computer software Finding accurate solution of chaotic system by using efficient existing numerical methods is very hard for its complex dynamical behaviors. In this paper, the multistage homotopy-perturbation method MHPM is applied to the Chaotic Genesio system. The MHPM is a simple reliable modification based on an adaptation of the standard homotopy-perturbation method HPM. The HPM is treated as an algorithm in a sequence of intervals for finding accurate approximate solutions to the Chaotic Genesio system. Numerical comparisons between the MHPM and the classical fourth-order Runge-Kutta �RK4� solutions are made. The results reveal that the new technique is a promising tool for the nonlinear chaotic systems of ordinary differential equations. Hindawi Publishing Corporation 2012 Article PeerReviewed application/pdf en http://irep.iium.edu.my/28222/1/Application_of_Multistage_Homotopy_Perturbation_Method_to_the_Chaotic_Genesio_System.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak and Momani, Shaher Mohammad and Rahman, M. M. (2012) Application of multistage homotopy perturbation method to the chaotic Genesio System. Abstract and Applied Analysis, 2012 (974293). pp. 1-10. ISSN 1085-3375 (Print) 1687-0409 (Online) http://www.hindawi.com/journals/aaa/2012/974293/ 10.1155/2012/974293 |
| spellingShingle | QA76 Computer software Chowdhury, Md. Sazzad Hossien Hashim, Ishak Momani, Shaher Mohammad Rahman, M. M. Application of multistage homotopy perturbation method to the chaotic Genesio System |
| title | Application of multistage homotopy perturbation method to the chaotic Genesio System |
| title_full | Application of multistage homotopy perturbation method to the chaotic Genesio System |
| title_fullStr | Application of multistage homotopy perturbation method to the chaotic Genesio System |
| title_full_unstemmed | Application of multistage homotopy perturbation method to the chaotic Genesio System |
| title_short | Application of multistage homotopy perturbation method to the chaotic Genesio System |
| title_sort | application of multistage homotopy perturbation method to the chaotic genesio system |
| topic | QA76 Computer software |
| url | http://irep.iium.edu.my/28222/ http://irep.iium.edu.my/28222/ http://irep.iium.edu.my/28222/ http://irep.iium.edu.my/28222/1/Application_of_Multistage_Homotopy_Perturbation_Method_to_the_Chaotic_Genesio_System.pdf |