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A numerical solution of Burgers’ equation by modified Adomian method. (English) Zbl 1060.65649
Summary: 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.

MSC:
65M70Spectral, collocation and related methods (IVP of PDE)
35Q53KdV-like (Korteweg-de Vries) equations