Jennifer J. Zhao
Department of Mathematics and Statistics
University of Michigan at Dearborn
Dearborn, MI 48128-1491, USA
We derive truncation error representation for the sixth order combined compact difference (CCD) scheme for discretizing a one dimensional partial differential equation. We also show that, for a model one dimensional convection diffusion 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.
Mathematics Subject Classification: 65N06, 65N12.
Technical Report 329-01, Department of Computer Science, University of Kentucky, Lexington, KY, 2001. This research was supported in part by the U.S. National Science Foundation under the grant CCR-9902022, CCR-9988165, CCR-0092532, and CCR-0117602.