The solution of coupled Burgers' equations using Adomian-Pade technique

The purpose of this study is to implement ADM-PADE (MADM-PADE) technique, which is a combination of Adomian decomposition method (modified Adomian decomposition method) and Pade approximation, for solving homogeneous (inhomogeneous) two dimensional parabolic equation. Also, we apply ADM-PADE technique to solve coupled Burgers ' equations. The results obtained by ADM-PADE (MADM-PADE) techniques are compared to those obtained by using ADM (MADM) alone. The numerical results demonstrate that ADM-PADE (MADM-PADE) technique gives the approximate solution with faster convergence rate and higher accuracy than using ADM (MADM). (c) 2006 Elsevier Inc. All rights reserved.