Homotopy analysis and Homotopy Pad$acute{e}$ methods for two-dimensional coupled Burgers' equations

Abstract

In this paper, analytic solutions of two-dimensional coupled Burgers' equations are obtained by the Homotopy analysis and the Ho- motopy Pade methods. The obtained approximation by using Homotopy method contains an auxiliary parameter which is a simple way to con- trol and adjust the convergence region and rate of solution series. The approximation solutions by (m, m) Homotopy Pade technique is often independent of auxiliary parameter and this technique accelerate the convergence of the related series.