A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems
In this paper, the homotopy-perturbation method (HPM) is modified in order to obtain the approximate solutions of the nonlinear differential equation response in a sequence of time intervals. The modified method provides a solution close to the exact one within a certain error. The accuracy of this...
| Main Authors: | , , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2010
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/2245/ http://irep.iium.edu.my/2245/1/A_Modified_Algorithm_for_the_Homotopy_Perturbation_Method_with_Applications_to_Lotka-Volterra_Systems.pdf |
| _version_ | 1848775975889797120 |
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| author | Chowdhury, Md. Sazzad Hossien Hassan, Talib Hashim Ismail, Ahmad Faris |
| author_facet | Chowdhury, Md. Sazzad Hossien Hassan, Talib Hashim Ismail, Ahmad Faris |
| author_sort | Chowdhury, Md. Sazzad Hossien |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper, the homotopy-perturbation method (HPM) is modified in order to obtain the approximate solutions of the nonlinear differential equation response in a sequence of time intervals. The modified method provides a solution close to the exact one within a certain error. The accuracy of this method is examined by comparison with the Adomian decomposition method (ADM). The results prove that the modified HPM is a powerful tool for the solution of nonlinear equations. |
| first_indexed | 2025-11-14T14:22:44Z |
| format | Proceeding Paper |
| id | iium-2245 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:22:44Z |
| publishDate | 2010 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-22452020-06-17T08:20:34Z http://irep.iium.edu.my/2245/ A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems Chowdhury, Md. Sazzad Hossien Hassan, Talib Hashim Ismail, Ahmad Faris QA76 Computer software In this paper, the homotopy-perturbation method (HPM) is modified in order to obtain the approximate solutions of the nonlinear differential equation response in a sequence of time intervals. The modified method provides a solution close to the exact one within a certain error. The accuracy of this method is examined by comparison with the Adomian decomposition method (ADM). The results prove that the modified HPM is a powerful tool for the solution of nonlinear equations. 2010 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/2245/1/A_Modified_Algorithm_for_the_Homotopy_Perturbation_Method_with_Applications_to_Lotka-Volterra_Systems.pdf Chowdhury, Md. Sazzad Hossien and Hassan, Talib Hashim and Ismail, Ahmad Faris (2010) A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems. In: 6th IMT-GT Conference on Mathematics, Statistics and its Applications (ICMSA2010), 3-4 November, 2010, Kuala Lumpur, Malaysia. http://research.utar.edu.my/CMS/ICMSA2010/ICMSA2010_Proceedings/files/applied_maths/AM-Chowdhury.pdf |
| spellingShingle | QA76 Computer software Chowdhury, Md. Sazzad Hossien Hassan, Talib Hashim Ismail, Ahmad Faris A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems |
| title | A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems |
| title_full | A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems |
| title_fullStr | A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems |
| title_full_unstemmed | A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems |
| title_short | A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems |
| title_sort | modified algorithm for the homotopy perturbation method with applications to lotka-volterra systems |
| topic | QA76 Computer software |
| url | http://irep.iium.edu.my/2245/ http://irep.iium.edu.my/2245/ http://irep.iium.edu.my/2245/1/A_Modified_Algorithm_for_the_Homotopy_Perturbation_Method_with_Applications_to_Lotka-Volterra_Systems.pdf |