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.
