ABSTRACT

In many branches of scince and technology, it is not always posible to obtain the closed-om solution for differential equations due to many reasons such as nonlinearity of system, occurrence of mixed order derivatives, in-homagесять or non-classical boundary conditions. In such situations an exact-analytical or numenical methods are utilized to construct the solutions of differential equations. The aim of dis shady is to solve the (nonlinear differential equations by well-known Adomian Decomposition method (ADM), Variational heration Method (VIM) and Homolopy Perturbation Method (HPM) and to compare the obtained results with exact solution and to analyze the effectiveness, reliability and rate of convergences of these methods. In this study mostly we have studied second order nonlinear PDE where ABC and D constants or variable coefficients and u Nju) and frepresent unknown function nonlinear term and source term respectively

=(m)++++

Keyword Adomuin Decomposition Method, Homotopy perturbation Method, Variational ineration Method, closed form solution, Adomain polynomial