Numerical simulation of anomalous infiltration in porous media

被引：21

作者：

Shen, S. ^{[1
]}

Liu, F. ^{[2
]}

Liu, Q. ^{[3
]}

Anh, V. ^{[2
]}

机构：

[1] Huaqiao Univ, Sch Math Sci, Quanzhou, Fujian, Peoples R China

[2] Queensland Univ Technol, Sch Math Sci, Brisbane, Qld 4001, Australia

[3] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

NUMERICAL ALGORITHMS | 2015年 / 68卷 / 03期

基金：

澳大利亚研究理事会; 中国国家自然科学基金;

关键词：

Anomalous infiltration; Porous media; Subdiffusion and superdiffusion; Time-fractional Boussinesq equation; Time variable order fractional derivative; VARIABLE-ORDER; DIFFUSION EQUATION; DIFFERENTIAL-OPERATORS; VISCOELASTICITY; OSCILLATOR;

D O I：

10.1007/s11075-014-9853-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 time-fractional 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.

引用

页码：443 / 454

页数：12

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