Homotopy-perturbation method for solving linear and nonlinear differential equation
In this presentation, the multistage homotopy-perturbation method (MHPM) is considered to solve 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 seq...
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| Format: | Proceeding Paper |
| Language: | English English English English |
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2015
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| Online Access: | http://irep.iium.edu.my/44868/ http://irep.iium.edu.my/44868/1/ICMSCE2015-Keynotes-1.pdf http://irep.iium.edu.my/44868/2/Webpage_for_Invited_speakers.pdf http://irep.iium.edu.my/44868/3/ICMSCE2015Program.pdf http://irep.iium.edu.my/44868/11/Certificates_of_presentation.pdf |
| _version_ | 1848782682272563200 |
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| author | Chowdhury, Md. Sazzad Hossien |
| author_facet | Chowdhury, Md. Sazzad Hossien |
| author_sort | Chowdhury, Md. Sazzad Hossien |
| building | IIUM Repository |
| collection | Online Access |
| description | In this presentation, the multistage homotopy-perturbation method (MHPM) is considered to solve 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 | 2025-11-14T16:09:20Z |
| format | Proceeding Paper |
| id | iium-44868 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English English |
| last_indexed | 2025-11-14T16:09:20Z |
| publishDate | 2015 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-448682016-01-26T18:13:36Z http://irep.iium.edu.my/44868/ Homotopy-perturbation method for solving linear and nonlinear differential equation Chowdhury, Md. Sazzad Hossien QA Mathematics QA76 Computer software In this presentation, the multistage homotopy-perturbation method (MHPM) is considered to solve 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 Proceeding Paper NonPeerReviewed application/pdf en http://irep.iium.edu.my/44868/1/ICMSCE2015-Keynotes-1.pdf application/pdf en http://irep.iium.edu.my/44868/2/Webpage_for_Invited_speakers.pdf application/pdf en http://irep.iium.edu.my/44868/3/ICMSCE2015Program.pdf application/pdf en http://irep.iium.edu.my/44868/11/Certificates_of_presentation.pdf Chowdhury, Md. Sazzad Hossien (2015) Homotopy-perturbation method for solving linear and nonlinear differential equation. In: 2nd International Conference on Mathematical Sciences & Computer Engineering, 05-06 February 2015, Langkawi, Malaysia,. (Unpublished) |
| spellingShingle | QA Mathematics QA76 Computer software Chowdhury, Md. Sazzad Hossien Homotopy-perturbation method for solving linear and nonlinear differential equation |
| title | Homotopy-perturbation method for solving linear and nonlinear differential equation
|
| title_full | Homotopy-perturbation method for solving linear and nonlinear differential equation
|
| title_fullStr | Homotopy-perturbation method for solving linear and nonlinear differential equation
|
| title_full_unstemmed | Homotopy-perturbation method for solving linear and nonlinear differential equation
|
| title_short | Homotopy-perturbation method for solving linear and nonlinear differential equation
|
| title_sort | homotopy-perturbation method for solving linear and nonlinear differential equation |
| topic | QA Mathematics QA76 Computer software |
| url | http://irep.iium.edu.my/44868/ http://irep.iium.edu.my/44868/1/ICMSCE2015-Keynotes-1.pdf http://irep.iium.edu.my/44868/2/Webpage_for_Invited_speakers.pdf http://irep.iium.edu.my/44868/3/ICMSCE2015Program.pdf http://irep.iium.edu.my/44868/11/Certificates_of_presentation.pdf |