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Computational Ecology and Software, 2013, 3(4): 110-125
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Article

A comparative study of a system of Lotka-Voltera type of PDEs through perturbation methods

H. A. Wahab1 , M. Shakil1, T. Khan1, S. Bhatti2, M. Naeem3
1Department of Mathematics, Hazara University, Manshera, Pakistan
2Department of Mathematics, COMSATS Institute of Information Technology, University Road, Abbottabad, Pakistan
3Department of Information Technology, Hazara University, Manshera, Pakistan

Received 9 August 2013;Accepted 15 September 2013;Published online 1 December 2013
IAEES

Abstract
In this paper the Adomian Decomposition Method (ADM) is employed in order to solve linear and nonlinear functional equations and the results are then compared with those produced by Homotopy Perturbation Method (HPM) through a system of Lotka Voltera type of PDEs. The result produced by HPM are promising and ADM appears as a special case of HPM for Lotka Voltera type of PDEs.

Keywords Lotka Voltera PDE;Adomian Decomposition Method;Homotopy Perturbation Method.


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