Application of homotopy perturbation method for numeric–analytic solution of system of hyperchaotic ODEs
In this study, a numeric hybrid technique combined with homotopy-perturbation method (HPM) is introduced to simulate a class of four dimensional hyperchaotic nonlinear initial value problems (IVPs). To check the stability and efficiency of the method, first we solve the selected problem by the fourt...
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
Institute For Engineering Research and Publications (IFERP)
2018
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| Online Access: | http://irep.iium.edu.my/67999/ http://irep.iium.edu.my/67999/7/67999%20%20Application%20of%20homotopy%20perturbation%20method.pdf |
| _version_ | 1848786867490652160 |
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| author | Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Mt Aznam, Suazlan |
| author_facet | Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Mt Aznam, Suazlan |
| author_sort | Chowdhury, Md. Sazzad Hossien |
| building | IIUM Repository |
| collection | Online Access |
| description | In this study, a numeric hybrid technique combined with homotopy-perturbation method (HPM) is introduced to simulate a class of four dimensional hyperchaotic nonlinear initial value problems (IVPs). To check the stability and efficiency of the method, first we solve the selected problem by the fourth-order Runge-Kutta method (RK4) and then by both standard and hybrid homotopy-perturbation method. Finally, we compare the obtained results by the three methods. Based on the cases selected and investigated, the hybrid HPM is reliable and efficient than the standard HPM for extended time length. The studies done by this works suggest that the hybrid HPM is a powerful alternative approach for solving nonlinear hyperchaotic IVPs.. |
| first_indexed | 2025-11-14T17:15:51Z |
| format | Proceeding Paper |
| id | iium-67999 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T17:15:51Z |
| publishDate | 2018 |
| publisher | Institute For Engineering Research and Publications (IFERP) |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-679992019-07-16T02:06:50Z http://irep.iium.edu.my/67999/ Application of homotopy perturbation method for numeric–analytic solution of system of hyperchaotic ODEs Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Mt Aznam, Suazlan QA297 Numerical Analysis In this study, a numeric hybrid technique combined with homotopy-perturbation method (HPM) is introduced to simulate a class of four dimensional hyperchaotic nonlinear initial value problems (IVPs). To check the stability and efficiency of the method, first we solve the selected problem by the fourth-order Runge-Kutta method (RK4) and then by both standard and hybrid homotopy-perturbation method. Finally, we compare the obtained results by the three methods. Based on the cases selected and investigated, the hybrid HPM is reliable and efficient than the standard HPM for extended time length. The studies done by this works suggest that the hybrid HPM is a powerful alternative approach for solving nonlinear hyperchaotic IVPs.. Institute For Engineering Research and Publications (IFERP) 2018 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/67999/7/67999%20%20Application%20of%20homotopy%20perturbation%20method.pdf Chowdhury, Md. Sazzad Hossien and Razali, Nur Isnida and Mt Aznam, Suazlan (2018) Application of homotopy perturbation method for numeric–analytic solution of system of hyperchaotic ODEs. In: 14th World Conference on Applied Science, Engineering and Technology (WCASET-18), 21st-22nd November 2018, Kuala Lumpur, Malaysia. |
| spellingShingle | QA297 Numerical Analysis Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Mt Aznam, Suazlan Application of homotopy perturbation method for numeric–analytic solution of system of hyperchaotic ODEs |
| title | Application of homotopy perturbation method for numeric–analytic solution of system of hyperchaotic ODEs |
| title_full | Application of homotopy perturbation method for numeric–analytic solution of system of hyperchaotic ODEs |
| title_fullStr | Application of homotopy perturbation method for numeric–analytic solution of system of hyperchaotic ODEs |
| title_full_unstemmed | Application of homotopy perturbation method for numeric–analytic solution of system of hyperchaotic ODEs |
| title_short | Application of homotopy perturbation method for numeric–analytic solution of system of hyperchaotic ODEs |
| title_sort | application of homotopy perturbation method for numeric–analytic solution of system of hyperchaotic odes |
| topic | QA297 Numerical Analysis |
| url | http://irep.iium.edu.my/67999/ http://irep.iium.edu.my/67999/7/67999%20%20Application%20of%20homotopy%20perturbation%20method.pdf |