• ANALYTICAL APPROACH TO THE ONE-DIMENSIONAL ADVECTION-DIFFUSION EQUATION USING HOMOTOPY PERTURBATION METHOD

Abstract

In this paper, a user friendly algorithm based on the homotopy perturbation method (HPM) is proposed to solve the one-dimensional advection-diffusion equations. The advantage of this method that is its ability and flexibility to provide the analytical or approximate solutions to linear and nonlinear equations without linearization or discretization makes it reliable for solving the one-dimensional advection-diffusion equations. The aim of this article is to employ HPM to solve of one-dimensional advection-diffusion equations and comparing the results obtained with exact solution. The numerical results are presented to show the efficiency of this method.