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...
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| Format: | Article |
| Language: | English |
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World Science Publishing Company
2012
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| Online Access: | 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 |
| 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 modified HPM is a powerful
tool for the solution of nonlinear equations. |
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