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

Journal Article · Wed Dec 15 00:00:00 EST 2010 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)

DOI:https://doi.org/10.1103/PHYSREVE.82.066404· OSTI ID:21502900

Allami, M H ^[1]; Shokri, B ^[1]

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1. Laser and Plasma Research Institute, Shahid Beheshti University, Tehran (Iran, Islamic Republic of)

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.

• OSTI ID: 21502900
• Journal Information: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print), Vol. 82, Issue 6; Other Information: DOI: 10.1103/PhysRevE.82.066404; (c) 2010 The American Physical Society; ISSN 1539-3755
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ASYMMETRY
DIFFUSION EQUATIONS
DISTANCE
DISTURBANCES
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
PERTURBATION THEORY
PULSES
SCALING LAWS
DIFFERENTIAL EQUATIONS
EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
SPACE