期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 255, 期 -, 页码 471-485出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2013.08.031
关键词
Fractional diffusion-wave equation; Alternating direction implicit method; Galerkin finite element method; Crank-Nicolson method
资金
- National Natural Science Foundation of China [11271123]
New numerical techniques are presented for the solution of the two-dimensional fractional diffusion-wave equation with a time fractional derivative of order alpha (1 < alpha < 2). In these methods, Galerkin finite element is used for the spatial discretization, and, for the time stepping, new alternating direction implicit (ADI) method based on the Crank-Nicolson method are considered. The unconditional stability and L-2 norm convergence of the ADI scheme are proved rigorously. Numerical results are presented to support our theoretical analysis. (c) 2013 Elsevier Inc. All rights reserved.
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