Abstract

LAPLACE HOMOTOPY PERTURBATION METHOD FOR SOLVING COUPLED SYSTEM OF LINEAR AND NONLINEAR PARTIAL DIFFERENTIAL EQUATION

Lawal O, W., Loyimi A.C. and Ayeni O.B.

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Abstract Laplace Homotopy Perturbation Method (LHPM) is a combination of Laplace transformation method and homotopy perturbation method. It is an approximate analytical method, which can be adopted in solving system of linear and non linear differential equations. In this research, Boussineq-Burger equation and Diffusion-reaction equation has been solved by LHPM which gives an approximate analytical solution that converges faster to the exact solution by using only few iteration of the recursive relation. Keywords: Boussineq-Burger equation, Diffusion-reaction equation, Homotopy perturbation transformation method, Lapalce transforms method, System of partial differential equatons, He?s polynomial.

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