A reliable numeric analytic technique for improving the solution of nonlinear chaotic and hyperchaotic problems
In this study, the multistage homotopy-perturbation method (MHPM) is applied to the nonlinear chaotic Lü system and hyperchaotic Chen and Lorenz system. MHPM is a technique adapted from the standard homotopy- perturbation method (HPM) where the HPM is treated as an algorithm in a sequence of time in...
| Main Authors: | , , , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2015
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/44812/ http://irep.iium.edu.my/44812/1/44812.pdf |
| _version_ | 1848782671774220288 |
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| author | Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Hashim, Ishak Abdul Majid, Zanariah |
| author_facet | Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Hashim, Ishak Abdul Majid, Zanariah |
| author_sort | Chowdhury, Md. Sazzad Hossien |
| building | IIUM Repository |
| collection | Online Access |
| description | In this study, the multistage homotopy-perturbation method (MHPM) is applied to the nonlinear chaotic Lü system and hyperchaotic Chen and Lorenz system. MHPM is a technique adapted from the standard homotopy- perturbation method (HPM) where the HPM is treated as an algorithm in a sequence of time intervals. To ensure the precision of the MHPM technique applied in this work, the results are compared with a fourth-order Runge-Kutta method and the standard HPM. The MHPM is tested for several examples. Numerical comparisons demonstrate the limitations of HPM and promising capability of the MHPM for solving chaotic and hyperchaotic systems. The results obtained with minimum amount of computational work show that the MHPM is an efficient and powerful technique in solving both chaotic and hyperchaotic systems. |
| first_indexed | 2025-11-14T16:09:10Z |
| format | Proceeding Paper |
| id | iium-44812 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T16:09:10Z |
| publishDate | 2015 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-448122018-10-31T08:42:45Z http://irep.iium.edu.my/44812/ A reliable numeric analytic technique for improving the solution of nonlinear chaotic and hyperchaotic problems Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Hashim, Ishak Abdul Majid, Zanariah QA Mathematics In this study, the multistage homotopy-perturbation method (MHPM) is applied to the nonlinear chaotic Lü system and hyperchaotic Chen and Lorenz system. MHPM is a technique adapted from the standard homotopy- perturbation method (HPM) where the HPM is treated as an algorithm in a sequence of time intervals. To ensure the precision of the MHPM technique applied in this work, the results are compared with a fourth-order Runge-Kutta method and the standard HPM. The MHPM is tested for several examples. Numerical comparisons demonstrate the limitations of HPM and promising capability of the MHPM for solving chaotic and hyperchaotic systems. The results obtained with minimum amount of computational work show that the MHPM is an efficient and powerful technique in solving both chaotic and hyperchaotic systems. 2015-01-13 Proceeding Paper NonPeerReviewed application/pdf en http://irep.iium.edu.my/44812/1/44812.pdf Chowdhury, Md. Sazzad Hossien and Razali, Nur Isnida and Hashim, Ishak and Abdul Majid, Zanariah (2015) A reliable numeric analytic technique for improving the solution of nonlinear chaotic and hyperchaotic problems. In: Kolokium Race (Research Acculturation Collaborative Effort) "RACE 2015", 13th-14th Jan. 2015, Akademi Kepimpinan Pengajian Tinggi (AKEPT), Bandar Enstek, Negeri Sembilan, Malaysia. (Unpublished) |
| spellingShingle | QA Mathematics Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Hashim, Ishak Abdul Majid, Zanariah A reliable numeric analytic technique for improving the solution of nonlinear chaotic and hyperchaotic problems |
| title | A reliable numeric analytic technique for improving the solution of nonlinear chaotic and hyperchaotic problems |
| title_full | A reliable numeric analytic technique for improving the solution of nonlinear chaotic and hyperchaotic problems |
| title_fullStr | A reliable numeric analytic technique for improving the solution of nonlinear chaotic and hyperchaotic problems |
| title_full_unstemmed | A reliable numeric analytic technique for improving the solution of nonlinear chaotic and hyperchaotic problems |
| title_short | A reliable numeric analytic technique for improving the solution of nonlinear chaotic and hyperchaotic problems |
| title_sort | reliable numeric analytic technique for improving the solution of nonlinear chaotic and hyperchaotic problems |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/44812/ http://irep.iium.edu.my/44812/1/44812.pdf |