• AN ANALYTICAL TECHNIQUE FOR FINDING EXACT SOLUTION OF TWO-DIMENSIONAL DIFFUSION EQUATIONS

Mehdi Gholami Porshokouhi*, Bijan Rahimi

Abstract


The variational iteration method (VIM) is a powerful tool for solving large amount of problems. In this article, the variational iteration method has been used to obtain exact solutions of the two-dimensional diffusion equation. The idea of variational iteration method was first introduced by He in 1997 [1]. The variational iteration method, a correction functional is constructed by a general Lagrange multiplier which can be identified via a variational theory. The variational iteration method has successfully been applied to many situations [2-5]. Tow illustrative examples are given to demonstrate the effectiveness of the present method.

Keywords


Homotopy perturbation method; Two-dimensional diffusion equation

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