چکیده :

In this paper, a new implicit nonstandard finite difference scheme for conserva tion laws preserving total variation diminishing (TVD) property, is proposed. This scheme is derived by using nonlocal approximation for nonlinear terms of partial differential equation. Schemes preserving the essential physical property, such as TVD are of great importance in practice. Such schemes are free of spurious oscilla- tions around discontinuities. Numerical results for Burgers’ equation are presented. .Comparison of numerical results with a classical difference scheme is given

کلید واژگان :

Nonstandard finite difference scheme, Total variation diminishing, Conservation law, Nonlocal approximation



ارزش ریالی : 120000 ریال
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