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).