AUTHOR(S): N.Phani Kumar, M. A. S. Srinivas
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TITLE Study of solutions of Commensalism Models by Homotopy-Perturbation Method (HPM) |
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ABSTRACT In this article, He's Homotopy-perturbation method is used to figure a close estimation to the solution of an ecological model having commensalism collaboration nature between two communicating species, which is given by the system of first order non-linear coupled ordinary differential equations governing in the problem. The numerical results obtained by employing the Homotopy-Perturbation Method (HPM) and the classical fourth order Runge-Kutta (RK) method technique are compared. The HPM method is straight forward, highly effective and a promising tool for the approximate analytical solution of non-linear ODE's. A few plots are introduced to emphasis the reliability of HPM. |
KEYWORDS Homotopy-perturbation method, non-linear differential equations, commensalism, commensal, host, Monod model. |
REFERENCES [1] Serdal Pamuk, Nevin Pamuk, He‟s homotopy perturbation method for continuous population models for single and interacting species, Computers and Mathematics with applications 59 (2010) 612-621. [1] Serdal Pamuk, Nevin Pamuk, He‟s homotopy perturbation method for continuous population models for single and interacting species, Computers and Mathematics with applications 59 (2010) 612-621. |
Cite this paper N.Phani Kumar, M. A. S. Srinivas. (2016) Study of solutions of Commensalism Models by Homotopy-Perturbation Method (HPM). International Journal of Mathematical and Computational Methods, 1, 11-24 |
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