• HOMOTOPY ANALYSIS METHOD AND DIFFUSION-CONVECTION EQUATION

Abstract

In this paper, the Homotopy Analysis method (HAM) is employed to find a suitable solution for Diffusion-Convection equation. This method is a strong and easy-to-use analytic tool for investigating linear and nonlinear problems, which do not need small parameters. Homotopy Analysis method (HAM) contains the auxiliary parameter ћ, which provides us with a simple way to adjust and control the convergence region of solution series. By suitable choice of auxiliary parameter , we can obtain reasonable solutions for large modulus. In this study, we compare obtained results through (HAM) with the exact solutions. This type of equations governs on numerous scientific and engineering experimentations.