NUMERICAL APPROACH TO SIMULATE DIFFUSION MODEL OF A FLUID-FLOW IN A POROUS MEDIA

被引：4

作者：

Aghdam, Yones Esmaeelzade ^{[1
]}

Farnam, Behnaz ^{[2
]}

Jafari, Hosein ^{[3
,4
]}

机构：

[1] Shahid Rajaee Teacher Training Univ, Dept Math, Tehran, Iran

[2] Qom Univ Technol, Dept Math, Fac Sci, Qom, Iran

[3] Univ South Africa, Dept Math Sci, UNISA, Pretoria, South Africa

[4] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

来源：

THERMAL SCIENCE | 2021年 / 25卷 / SpecialIssue 2期

关键词：

diffusion; Caputo derivative; numerical solutions; boundary conditions; APPROXIMATION; EQUATION;

D O I：

10.2298/TSCI21S2255E

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

When a particle distributes at a rate that deviates from the classical Brownian motion model, fractional space derivatives have been used to simulate anomalous diffusion or dispersion. When a fractional derivative substitutes the second-order derivative in a diffusion or dispersion model, amplified diffusion occurs (named super-diffusion). The proposed approach in this paper allows seeing the physical background of the newly defined Caputo space-time-fractional derivative and indicates that the order of convergence to approximate such equations has increased.

引用

页码：S255 / S261

页数：7

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