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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
World Science Publishing Company
2012
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/28343/ http://irep.iium.edu.my/28343/1/AN_ACCURATE_SOLUTION_TO_THE_LOTKA-VOLTERRA_EQUATIONS_BY_MODIFIED_HOMOTOPY.pdf |
| _version_ | 1848779954203918336 |
|---|---|
| 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, 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 modified HPM is a powerful
tool for the solution of nonlinear equations. |
| first_indexed | 2025-11-14T15:25:58Z |
| format | Article |
| id | iium-28343 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:25:58Z |
| publishDate | 2012 |
| publisher | World Science Publishing Company |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-283432013-02-13T15:42:23Z http://irep.iium.edu.my/28343/ An accurate solution to the Lotka-Volterra equations by modified Homotopy perturbation method Chowdhury, Md. Sazzad Hossien 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 modified HPM is a powerful tool for the solution of nonlinear equations. World Science Publishing Company 2012 Article PeerReviewed application/pdf en http://irep.iium.edu.my/28343/1/AN_ACCURATE_SOLUTION_TO_THE_LOTKA-VOLTERRA_EQUATIONS_BY_MODIFIED_HOMOTOPY.pdf Chowdhury, Md. Sazzad Hossien (2012) An accurate solution to the Lotka-Volterra equations by modified Homotopy perturbation method. International Journal of Modern Physics: Conference Series, 9. pp. 326-333. ISSN 2010-1945 10.1142/S2010194512005387 |
| spellingShingle | QA76 Computer software Chowdhury, Md. Sazzad Hossien 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/28343/ http://irep.iium.edu.my/28343/ http://irep.iium.edu.my/28343/1/AN_ACCURATE_SOLUTION_TO_THE_LOTKA-VOLTERRA_EQUATIONS_BY_MODIFIED_HOMOTOPY.pdf |