A new reliable numeric-analytic technique to solve nonlinear system of ordinary differential equations
In this paper, an analytical expression for the solution of the prey-predator problem by Modified homotopy-perturbation method (MHPM) is presented. The MHPM is treated as an algorithm for approximating the solution of the problem in a sequence of time intervals, \ie the classical HPM is converted in...
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| Format: | Proceeding Paper |
| Language: | English |
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2009
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| Online Access: | http://irep.iium.edu.my/10948/ http://irep.iium.edu.my/10948/2/KERIE_09_Poster-Sazzad1.pdf |
| _version_ | 1848777272652201984 |
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| author | Chowdhury, M. S. H. |
| author_facet | Chowdhury, M. S. H. |
| author_sort | Chowdhury, M. S. H. |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper, an analytical expression for the solution of the prey-predator problem by Modified homotopy-perturbation method (MHPM) is presented. The MHPM is treated as an algorithm for approximating the solution of the problem in a sequence of time intervals, \ie the classical HPM is converted into a hybrid numeric-analytic method called the multistage HPM (MHPM). Numerical comparisons with the classical HPM, and the classical fourth-order Rungge-Kutta (RK4) methods are presented. Numerical comparisons between the multistage homotopy-perturbation method (MHPM) and the classical fourth-order Runge-Kutta (RK4) numerical solutions reveal that the new technique is a promising tool for the nonlinear systems of ODEs.
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| first_indexed | 2025-11-14T14:43:21Z |
| format | Proceeding Paper |
| id | iium-10948 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:43:21Z |
| publishDate | 2009 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-109482012-05-28T00:17:48Z http://irep.iium.edu.my/10948/ A new reliable numeric-analytic technique to solve nonlinear system of ordinary differential equations Chowdhury, M. S. H. QA76 Computer software In this paper, an analytical expression for the solution of the prey-predator problem by Modified homotopy-perturbation method (MHPM) is presented. The MHPM is treated as an algorithm for approximating the solution of the problem in a sequence of time intervals, \ie the classical HPM is converted into a hybrid numeric-analytic method called the multistage HPM (MHPM). Numerical comparisons with the classical HPM, and the classical fourth-order Rungge-Kutta (RK4) methods are presented. Numerical comparisons between the multistage homotopy-perturbation method (MHPM) and the classical fourth-order Runge-Kutta (RK4) numerical solutions reveal that the new technique is a promising tool for the nonlinear systems of ODEs. 2009-01-21 Proceeding Paper NonPeerReviewed application/pdf en http://irep.iium.edu.my/10948/2/KERIE_09_Poster-Sazzad1.pdf Chowdhury, M. S. H. (2009) A new reliable numeric-analytic technique to solve nonlinear system of ordinary differential equations. In: Kulliyyah of Engineering Research and Innovation Exhibition ( KERIE 2009), 21-22 January 2009, Culture Activity Centre (CAC), IIUM . (Unpublished) |
| spellingShingle | QA76 Computer software Chowdhury, M. S. H. A new reliable numeric-analytic technique to solve nonlinear system of ordinary differential equations |
| title | A new reliable numeric-analytic technique to solve nonlinear system of ordinary differential equations
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| title_full | A new reliable numeric-analytic technique to solve nonlinear system of ordinary differential equations
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| title_fullStr | A new reliable numeric-analytic technique to solve nonlinear system of ordinary differential equations
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| title_full_unstemmed | A new reliable numeric-analytic technique to solve nonlinear system of ordinary differential equations
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| title_short | A new reliable numeric-analytic technique to solve nonlinear system of ordinary differential equations
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| title_sort | new reliable numeric-analytic technique to solve nonlinear system of ordinary differential equations |
| topic | QA76 Computer software |
| url | http://irep.iium.edu.my/10948/ http://irep.iium.edu.my/10948/2/KERIE_09_Poster-Sazzad1.pdf |