Homotopy analysis and Homotopy Pade methods for two-dimensional coupled Burgers’ equations

In this paper, analytic solutions of two-dimensional coupled Burgers’ equations are obtained by the Homotopy analysis and the Homotopy Pade methods. The obtained approximation by using Homotopy method contains an auxiliary parameter which is a simple way to control 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 h and this technique accelerate the convergence of the related series.