An accurate solution to the Lotka-Volterra equations by modified homotopy perturbation method
In this paper, we suggest a method to solve the multispecies Lotka-Voltera equations. The suggested method, which we call modified homotopy perturbation method, can be considered as an extension of the homotopy perturbation method (HPM) which is very efficient in solving a varety of differential an...
| Main Authors: | , |
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| Format: | Proceeding Paper |
| Language: | English English |
| Published: |
2011
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| Online Access: | http://irep.iium.edu.my/2236/ http://irep.iium.edu.my/2236/1/Dr.Sazzad-PD03.pdf http://irep.iium.edu.my/2236/4/An_Accurate_solution_to_the_Lotka-Volterra_equations_by_modified_homotopy_pertubation_method.pdf |
| _version_ | 1848775974186909696 |
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| author | Chowdhury, Md. Sazzad Hossien Rahman, M. M. |
| author_facet | Chowdhury, Md. Sazzad Hossien Rahman, M. M. |
| author_sort | Chowdhury, Md. Sazzad Hossien |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper, we suggest a method to solve the multispecies Lotka-Voltera equations. The suggested method, which we call modified homotopy perturbation method, can be
considered as an extension of the homotopy perturbation method (HPM) which is very efficient in solving a varety of differential and algebraic equations. The HPM is modified
in order to obtain the approximate solutions of Lotka-Voltera equation response in a sequence of time intervals. In particular, the example of two species is considered. The
accuracy of this method is examined by comparison with the numerical solution of the Runge-Kutta-Verner method. The results prove that the modi¯ed HPM is a powerful tool for the solution of nonlinear equations. |
| first_indexed | 2025-11-14T14:22:43Z |
| format | Proceeding Paper |
| id | iium-2236 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T14:22:43Z |
| publishDate | 2011 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-22362012-05-03T07:25:28Z http://irep.iium.edu.my/2236/ An accurate solution to the Lotka-Volterra equations by modified homotopy perturbation method Chowdhury, Md. Sazzad Hossien Rahman, M. M. QA76 Computer software In this paper, we suggest a method to solve the multispecies Lotka-Voltera equations. The suggested method, which we call modified homotopy perturbation method, can be considered as an extension of the homotopy perturbation method (HPM) which is very efficient in solving a varety of differential and algebraic equations. The HPM is modified in order to obtain the approximate solutions of Lotka-Voltera equation response in a sequence of time intervals. In particular, the example of two species is considered. The accuracy of this method is examined by comparison with the numerical solution of the Runge-Kutta-Verner method. The results prove that the modi¯ed HPM is a powerful tool for the solution of nonlinear equations. 2011 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/2236/1/Dr.Sazzad-PD03.pdf application/pdf en http://irep.iium.edu.my/2236/4/An_Accurate_solution_to_the_Lotka-Volterra_equations_by_modified_homotopy_pertubation_method.pdf Chowdhury, Md. Sazzad Hossien and Rahman, M. M. (2011) An accurate solution to the Lotka-Volterra equations by modified homotopy perturbation method. In: The International Conference on Mathematical and Computational Biology 2011 (ICMCB2011), 12-14 April, 2011, Melaka, malaysia. http://www.worldscinet.com/ijmpcs |
| spellingShingle | QA76 Computer software Chowdhury, Md. Sazzad Hossien Rahman, M. M. An accurate solution to the Lotka-Volterra equations by modified homotopy perturbation method |
| title | An accurate solution to the Lotka-Volterra equations by modified homotopy perturbation method
|
| title_full | An accurate solution to the Lotka-Volterra equations by modified homotopy perturbation method
|
| title_fullStr | An accurate solution to the Lotka-Volterra equations by modified homotopy perturbation method
|
| title_full_unstemmed | An accurate solution to the Lotka-Volterra equations by modified homotopy perturbation method
|
| title_short | An accurate solution to the Lotka-Volterra equations by modified homotopy perturbation method
|
| title_sort | accurate solution to the lotka-volterra equations by modified homotopy perturbation method |
| topic | QA76 Computer software |
| url | http://irep.iium.edu.my/2236/ http://irep.iium.edu.my/2236/ http://irep.iium.edu.my/2236/1/Dr.Sazzad-PD03.pdf http://irep.iium.edu.my/2236/4/An_Accurate_solution_to_the_Lotka-Volterra_equations_by_modified_homotopy_pertubation_method.pdf |