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Zbl 1060.65649
Abbasbandy, S.; Darvishi, M.T.
A numerical solution of Burgers' equation by modified Adomian method. (English)
[J] Appl. Math. Comput. 163, No. 3, 1265-1272 (2005). ISSN 0096-3003

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 2000:: *65M70 Spectral, collocation and related methods (IVP of PDE)
35Q53 KdV-like equations

Keywords: Burgers' equation; Adomian's decomposition method; Hopf-Cole transformation; numerical results

Cited in: Zbl 1217.76019

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