Modified alternating direction methods for solving a two-dimensional non-continuous seepage flow with fractional derivatives
Data(s) |
01/05/2009
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Resumo |
In this paper, a two-dimensional non-continuous seepage flow with fractional derivatives (2D-NCSF-FD) in uniform media is considered, which has modified the well known Darcy law. Using the relationship between Riemann-Liouville and Grunwald-Letnikov fractional derivatives, two modified alternating direction methods: a modified alternating direction implicit Euler method and a modified Peaceman-Rachford method, are proposed for solving the 2D-NCSF-FD in uniform media. The stability and consistency, thus convergence of the two methods in a bounded domain are discussed. Finally, numerical results are given. |
Formato |
application/pdf |
Identificador | |
Publicador |
Zhongguo Kexuleyuan, Jisuan Shuxue yu Kexue Gongcheng Jisuan |
Relação |
http://eprints.qut.edu.au/29787/1/29787.pdf http://www.global-sci.org/mns/ Liu, Q. & Liu, Fawang (2009) Modified alternating direction methods for solving a two-dimensional non-continuous seepage flow with fractional derivatives. Mathematica Numerica Sinica, 31(2). |
Direitos |
Copyright 2009 Scientific Information Consultants Ltd. |
Fonte |
Faculty of Science and Technology; Mathematical Sciences |
Palavras-Chave | #010200 APPLIED MATHEMATICS #010300 NUMERICAL AND COMPUTATIONAL MATHEMATICS #Non-continuous Seepage Flow #Alternating Direction Method #Fractional Derivative #Stability #Convergence |
Tipo |
Journal Article |