Numerical simulation of anomalous infiltration in porous media
Data(s) |
01/03/2015
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Resumo |
Nonlinear time-fractional diffusion equations have been used to describe the liquid infiltration for both subdiffusion and superdiffusion in porous media. In this paper, some problems of anomalous infiltration with a variable-order timefractional derivative in porous media are considered. The time-fractional Boussinesq equation is also considered. Two computationally efficient implicit numerical schemes for the diffusion and wave-diffusion equations are proposed. Numerical examples are provided to show that the numerical methods are computationally efficient. |
Formato |
application/pdf |
Identificador | |
Publicador |
Springer Verlag |
Relação |
http://eprints.qut.edu.au/82697/1/P11_NUMA1404R1_20_Aug_09.pdf DOI:10.1007/s11075-014-9853-9 Shen, S., Liu, F., Liu, Q., & Anh, V. (2015) Numerical simulation of anomalous infiltration in porous media. Numerical Algorithms, 68(3), pp. 443-454. |
Direitos |
Springer Science+Business Media New York 2014 |
Fonte |
School of Mathematical Sciences; Science & Engineering Faculty |
Palavras-Chave | #010204 Dynamical Systems in Applications #010300 NUMERICAL AND COMPUTATIONAL MATHEMATICS #010301 Numerical Analysis |
Tipo |
Journal Article |