Homotopy Perturbation Method for Solving Highly Nonlinear Reaction-Diffusion-Convection Problem

An elegant and powerful technique is Homotopy Perturbation Method (HPM) to solve linearand nonlinear partial differential equations. Using the initial conditions this method provides an analytical or exact solutions. In this article, we shall be applied this method to get most accurate solution of a highly non-linear partial differential equation which is Reaction-Diffusion-Convection Problem. This article confirms the power, simplicity and efficiency of the method compared with the exact solution. This article also confirmed that this method is suitable method for solving any types of partial differential equations. A graphical representation of the result has been shown which provides the most accurate physical situation and accuracy of the solution. The HPM allows to find the solution of the nonlinear partial differential equations which will be calculated in the form of a series with easily computable components. From the calculation and its graphical representation it is clear that how the solution of the equation and its behavior depends on the initial conditions