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A new way for constructing high accuracy shock-capturing generalized compact difference schemes

✍ Scribed by M.Y. Shen; Z.B. Zhang; X.L. Niu


Book ID
104267264
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
359 KB
Volume
192
Category
Article
ISSN
0045-7825

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A new difference scheme with high accura
✍ Hengfei Ding; Yuxin Zhang πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 420 KB

In this paper, we use a semi-discrete and a padΓ© approximation method to propose a new difference scheme for solving convection-diffusion problems. The truncation error of the difference scheme is O(h 4 + Ο„ 5 ). It is shown through analysis that the scheme is unconditionally stable. Numerical experi