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International Journal of Scientific and Engineering Research
ISSN Online 2229-5518
ISSN Print: 2229-5518 6    
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scirp IJSER >> Volume 2, Issue 6, June 2011 Edition
A semi-implicit finite-difference approach for two-dimensional coupled Burgers' equations
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Author(s)
Mohammad Tamsir, Vineet Kumar Srivastava
KEYWORDS
Burgers’ equations; finite- difference; semi-implicit scheme; Reynolds number.
ABSTRACT
The two-dimensional Burgers' equation is a mathematical model which is used to describe various kinds of phenomena such as turbulence and viscous fluid. In this paper, a semi-implicit finite-difference method is used to handle such problem. The proposed scheme forms a system of linear algebraic difference equations to be solved at each time-step. The linear system is solved by direct method. Numerical results are compared with those of exact solutions and other available results. The present method performs well. The proposed scheme can be extended for solving non-linear problems arising in mechanics and other areas of engineering and science.
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