THERMAL SCIENCE
International Scientific Journal
NUMERICAL APPROACH TO SIMULATE DIFFUSION MODEL OF A FLUID-FLOW IN A POROUS MEDIA
ABSTRACT
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.
KEYWORDS
PAPER SUBMITTED: 2021-04-13
PAPER REVISED: 2021-04-25
PAPER ACCEPTED: 2021-05-17
PUBLISHED ONLINE: 2021-12-18
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