| Residential College | false |
| Status | 已發表Published |
| Combined compact difference scheme for linear second-order partial differential equations with mixed derivative | |
Spike T.Lee1; Jun Liu2; Hai-Wei Sun3 
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| 2014-07-01 | |
| Source Publication | Journal of Computational and Applied Mathematics
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| ISSN | 03770427 |
| Volume | 264Pages:23-37 |
| Abstract | A combined compact difference scheme is proposed for linear second-order partial differential equations with mixed derivative. The scheme is based on a nine-point stencil at the interior with sixth-order accurate local truncation error. Fourier analysis is used to analyze the spectral resolution of the proposed scheme. Numerical tests demonstrate at least sixth-order convergence rate with Dirichlet boundary condition and fifth-order with Robin boundary condition. A bonus is that high Reynolds numbers do not interfere with the order of accuracy. © 2014 Elsevier B.V. All rights reserved. |
| Keyword | Combined Compact Difference Scheme Fourier Error Analysis High-order Finite Difference Mixed Derivative Partial Differential Equations Two Dimensional |
| DOI | 10.1016/j.cam.2014.01.004 |
| URL | View the original |
| Indexed By | SCIE |
| Language | 英語English |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000332748800002 |
| Scopus ID | 2-s2.0-84893153105 |
| Fulltext Access | |
| Citation statistics | |
| Document Type | Journal article |
| Collection | DEPARTMENT OF MATHEMATICS |
| Corresponding Author | Hai-Wei Sun |
| Affiliation | 1.Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong, China 2.Department of Mathematics, Southern Illinois University, Carbondale, IL, USA 3.Department of Mathematics, University of Macau, Macao, China |
| Corresponding Author Affilication | University of Macau |
| Recommended Citation GB/T 7714 | Spike T.Lee,Jun Liu,Hai-Wei Sun. Combined compact difference scheme for linear second-order partial differential equations with mixed derivative[J]. Journal of Computational and Applied Mathematics, 2014, 264, 23-37. |
| APA | Spike T.Lee., Jun Liu., & Hai-Wei Sun (2014). Combined compact difference scheme for linear second-order partial differential equations with mixed derivative. Journal of Computational and Applied Mathematics, 264, 23-37. |
| MLA | Spike T.Lee,et al."Combined compact difference scheme for linear second-order partial differential equations with mixed derivative".Journal of Computational and Applied Mathematics 264(2014):23-37. |
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