A numerical solution of Burgers' equation by time discretization of Adomian's decomposition method

In this paper, Burgers' equation, one-dimensional quasi-linear parabolic PDE, which is used in turbulence and shock wave theory was solved by modified Adomian's decomposition method with discretization in time. The numerical results obtained by this method for various values of viscosity have been compared with the exact solution to show the efficiency of the method.