COMPARATIVE ANALYSIS OF A NON-REACTIVE CONTAMINANT FLOW PROBLEM FOR CONSTANT INITIAL CONCENTRATION IN TWO DIMENSIONS BY HOMOTOPY-PERTURBATION AND VARIATIONAL ITERATION METHODS

Abstract

In this paper, we present a comparative analysis of non-reactive contaminant flow problem for constant initial concentration in two dimensions by homotopy-perturbation and Variational Iteration method. We assume that the adsorption term is modeled by Freudlich Isotherm. We provide an approximation of this equation using homotopy-perturbation transformation and solve the resulting linear equations analytically by homotopy-perturbation method (HPM) and Variational Iteration Method (VIM). Graphs are plotted using the solution obtained from the method and the results are presented and discussed.