Simulation of the predator-prey problem by the homotopy-perturbation method revised
In this paper, the predator-prey problem is revisited. Previous solution by homotopy-perturbation method (HPM) is improved by treating the homotopy-perturbation method as an algorithm in a sequence of intervals (i.e. time steps) called the multistage homotopy-perturbation method (shortly MHPM). Nume...
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| Format: | Article |
| Language: | English |
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Journal of the Juliusz Schauder Center
2008
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| Online Access: | http://irep.iium.edu.my/6653/ http://irep.iium.edu.my/6653/1/Simulation_of_the_Predator_prey_problem_by_the_homotopy_perturbation_method_revised.pdf |
| _version_ | 1848776706838495232 |
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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 paper, the predator-prey problem is revisited. Previous solution by homotopy-perturbation method (HPM) is improved by treating the homotopy-perturbation method as an algorithm in a sequence of intervals (i.e. time steps) called the multistage homotopy-perturbation method (shortly MHPM). Numerical results show that the multistage homotopy-perturbation method and the classical fourth-order Rungge-Kutta (RK4) methods are in complete agreement |
| first_indexed | 2025-11-14T14:34:21Z |
| format | Article |
| id | iium-6653 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:34:21Z |
| publishDate | 2008 |
| publisher | Journal of the Juliusz Schauder Center |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-66532013-07-18T02:13:55Z http://irep.iium.edu.my/6653/ Simulation of the predator-prey problem by the homotopy-perturbation method revised Chowdhury, Md. Sazzad Hossien QA76 Computer software In this paper, the predator-prey problem is revisited. Previous solution by homotopy-perturbation method (HPM) is improved by treating the homotopy-perturbation method as an algorithm in a sequence of intervals (i.e. time steps) called the multistage homotopy-perturbation method (shortly MHPM). Numerical results show that the multistage homotopy-perturbation method and the classical fourth-order Rungge-Kutta (RK4) methods are in complete agreement Journal of the Juliusz Schauder Center 2008-06 Article PeerReviewed application/pdf en http://irep.iium.edu.my/6653/1/Simulation_of_the_Predator_prey_problem_by_the_homotopy_perturbation_method_revised.pdf Chowdhury, Md. Sazzad Hossien (2008) Simulation of the predator-prey problem by the homotopy-perturbation method revised. Topological Methods in Nonlinear Science, 31 (2). pp. 263-270. ISSN 1230-3429 http://www-users.mat.uni.torun.pl/~tmna/htmls/archives/vol-31-2.html |
| spellingShingle | QA76 Computer software Chowdhury, Md. Sazzad Hossien Simulation of the predator-prey problem by the homotopy-perturbation method revised |
| title | Simulation of the predator-prey problem by the homotopy-perturbation method revised |
| title_full | Simulation of the predator-prey problem by the homotopy-perturbation method revised |
| title_fullStr | Simulation of the predator-prey problem by the homotopy-perturbation method revised |
| title_full_unstemmed | Simulation of the predator-prey problem by the homotopy-perturbation method revised |
| title_short | Simulation of the predator-prey problem by the homotopy-perturbation method revised |
| title_sort | simulation of the predator-prey problem by the homotopy-perturbation method revised |
| topic | QA76 Computer software |
| url | http://irep.iium.edu.my/6653/ http://irep.iium.edu.my/6653/ http://irep.iium.edu.my/6653/1/Simulation_of_the_Predator_prey_problem_by_the_homotopy_perturbation_method_revised.pdf |