A numerical solution of Burgers' equation by modified Adomian method

In this paper, the modified Adomian's decomposition method for calculating a numerical solution of the one-dimensional quasi-linear, the Burgers' equation, is presented. Time discretization has been used in decomposition, without using any transformation in the Burgers' equation such as Hopf-Cole transformation. The numerical results obtained by this way for various values of viscosity have been compared with the exact solution to show the efficiency of the method.