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Published on: May 1, 2018
Effects of bounded space in the solutions of time-space fractional diffusion equation
1Laser and Plasma Research Institute, Shahid Beheshti University, Tehran, Iran.
Abstract:
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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