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: | Conference or Workshop Item |
| Language: | English English |
| Published: |
2011
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| Subjects: | |
| Online Access: | 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 |
| Summary: | 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. |
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