AN ACCURATE SOLUTION TO THE LOTKA-VOLTERRA EQUATIONS BY MODIFIED HOMOTOPY PERTURBATION METHOD
2012 ◽
Vol 09
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pp. 326-333
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Keyword(s):
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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Vol 30
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pp. 59-75
2009 ◽
Vol 64
(12)
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pp. 788-794
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2015 ◽
Vol 2
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pp. 485-498
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2006 ◽
Vol 172
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pp. 431-438
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2013 ◽
Vol 5
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pp. 1
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