TY - JOUR JF - IJMSI JO - IJMSI VL - 6 IS - 1 PY - 2011 Y1 - 2011/5/01 TI - Homotopy analysis and Homotopy Pad$acute{e}$ methods for two-dimensional coupled Burgers' equations TT - N2 - In this paper, analytic solutions of two-dimensional coupled Burgers' equations are obtained by the Homotopy analysis and the Homotopy Pad$acute{e}$ 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 Pad$acute{e}$ technique is often independent of auxiliary parameter $hbar$ and this technique accelerate the convergence of the related series. SP - 23 EP - 31 AU - Kheiri, H. AU - Jabbari, A. AD - KW - Homotopy analysis method KW - Homotopy Pad$acute{e}$ technique KW - Two-dimensional coupled Burgers\' equations. UR - http://ijmsi.ir/article-1-191-en.html DO - 10.7508/ijmsi.2011.01.003 ER -