Effects of bounded space in the solutions of time-space fractional diffusion equation

被引：3
|
作者：
Allami, M. H. [1 ]
Shokri, B. [1 ,2 ]
机构：
[1] Shahid Beheshti Univ, Laser & Plasma Res Inst, Tehran, Iran
[2] Shahid Beheshti Univ, Dept Phys, GC, Tehran, Iran
来源：
PHYSICAL REVIEW E | 2010年 / 82卷 / 06期
关键词：
DISTRIBUTIONS; PLASMA;
D O I：
10.1103/PhysRevE.82.066404
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
By using a recently proposed numerical method, the fractional diffusion equation with memory in a finite domain is solved for different asymmetry parameters and fractional orders. Some scaling laws are revisited in this condition, such as growth rate in a distance from pulse perturbation, the time when the perturbative peak reaches the other points, and advectionlike behavior as a result of asymmetry and memory. Conditions for negativity and instability of solutions are shown. Also up-hill transport and its time-space region are studied.
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页数：10
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