A fully implicit finite-difference scheme for two-dimensional Burgers' equations

Authors:
A. Refik Bahadir
Affiliations:
Department of Mathematics, Faculty of Arts and Sciences, Inönü University, 44100 Malatya, Turkey
Venue:
Applied Mathematics and Computation
Year:
2003

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Abstract

The two-dimensional Burgers' equations are discretized in fully implicit finite-difference form. This scheme leads to a system of nonlinear difference equations to be solved at each time-step. Newton's method is used to solve this nonlinear system. The linear system is solved by a direct method at each iteration of Newton's method. The accuracy of the proposed numerical scheme is examined by comparison with other analytical and numerical results. The present method performs well.