Truncation error and oscillation property of the combined compact difference scheme
نویسندگان
چکیده
We derive truncation error representation for the sixth order combined compact diierence (CCD) scheme for discretizing a one dimensional partial diierential equation. We also show that, for a model one dimensional convection diiusion equation, the CCD scheme produces numerical oscillatory solution, when the cell Reynolds number condition is violated. Numerical experiments are used to demonstrate and support our analysis.
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ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 161 شماره
صفحات -
تاریخ انتشار 2005