期刊
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
卷 174, 期 2, 页码 383-397出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2004.05.004
关键词
two-dimensional Burgers' equation; higher-order accurate schemes; compact scheme; Du Fort Frankel scheme
This paper is devoted to the testing and comparison of numerical solutions obtained from higher-order accurate finite difference schemes for the two-dimensional Burgers' equation having moderate to severe internal gradients. The fourth-order accurate two-point compact scheme, and the fourth-order accurate Du Fort Frankel scheme are derived. The numerical stability and convergence are presented. The cases of shock waves of severe gradient are solved and checked with the fourth-order accurate Du Fort Frankel scheme solutions. The present study shows that the fourth-order two-point compact scheme is highly stable and efficient in comparison with the fourth-order accurate Du Fort Frankel scheme. (C) 2004 Elsevier B.V. All rights reserved.
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