Numerical approach to simulate diffusion model of a fluid-flow in a porous media
Keyword(s):
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.
1987 ◽
Vol 74
(2)
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pp. 271-287
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1989 ◽
Vol 03
(14)
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pp. 1093-1099
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1996 ◽
Vol 223
(3-4)
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pp. 365-390
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2020 ◽
Vol 130
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pp. 109456
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2006 ◽
Vol 14
(3)
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pp. 931-940
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