Numerical solutions of two-dimensional Burgersʹ equations by discrete Adomian decomposition method

In this paper, the discrete Adomian decomposition method (ADM) is proposed to numerically solve the two-dimensional Burgersʹ nonlinear difference equations. Two test problems are considered to illustrate the accuracy of the proposed discrete decomposition method. It is shown that the numerical results are in good agreement with the exact solutions for each problem.