期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 277, 期 -, 页码 1-15出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2014.08.012
关键词
Modified anomalous fractional sub-diffusion equation; Fractional diffusion-wave equation; Compact difference scheme; Weighted and shifted Grunwald difference operator
资金
- Macao Science and Technology Development Fund [001/2013/A]
- University of Macau [MYRG086(Y1-L2)-FST12-VSW]
In this paper, compact finite difference schemes for the modified anomalous fractional sub-diffusion equation and fractional diffusion-wave equation are studied. Schemes proposed previously can at most achieve temporal accuracy of order which depends on the order of fractional derivatives in the equations and is usually less than two. Based on the idea of weighted and shifted Grunwald difference operator, we establish schemes with temporal and spatial accuracy order equal to two and four respectively. (C) 2014 Elsevier Inc. All rights reserved.
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