Generalized Boundary Conditions for the Time-Fractional Advection Diffusion Equation

被引：20

作者：

Povstenko, Yuriy ^{[1
]}

机构：

[1] Jan Dlugosz Univ Czestochowa, Inst Math & Comp Sci, PL-42200 Czestochowa, Poland

来源：

ENTROPY | 2015年 / 17卷 / 06期

关键词：

fractional calculus; non-Fickian diffusion; fractional advection diffusion equation; complex systems; nonperfect contact conditions; HEAT-CONDUCTION; ANOMALOUS DIFFUSION; ENTROPY; DISPERSION; TSALLIS;

D O I：

10.3390/e17064028

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The different kinds of boundary conditions for standard and fractional diffusion and advection diffusion equations are analyzed. Near the interface between two phases there arises a transition region which state differs from the state of contacting media owing to the different material particle interaction conditions. Particular emphasis has been placed on the conditions of nonperfect diffusive contact for the time-fractional advection diffusion equation. When the reduced characteristics of the interfacial region are equal to zero, the conditions of perfect contact are obtained as a particular case.

引用

页码：4028 / 4039

页数：12