Anomalous diffusion simulation of the effects for drainage systems
Matematičeskoe modelirovanie, Tome 25 (2013) no. 12, pp. 44-49

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A model of filtration in a drainage system that takes into account the anomalous diffusion normality moisture transfer in soil caused by the fractal properties of the medium is considered. It is shown that the use of fractal models of filtration of the soil leads to better compliance with the calculation results of the groundwater profiles with the experimental data.
Keywords: mathematical modeling, fractal geometry, partial differential equations of fractional derivatives
Mots-clés : anomalous diffusion, filtration.
@article{MM_2013_25_12_a3,
     author = {N. M. Kashchenko and M. A. Nikitin},
     title = {Anomalous diffusion simulation of the effects for drainage systems},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {44--49},
     publisher = {mathdoc},
     volume = {25},
     number = {12},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2013_25_12_a3/}
}
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N. M. Kashchenko; M. A. Nikitin. Anomalous diffusion simulation of the effects for drainage systems. Matematičeskoe modelirovanie, Tome 25 (2013) no. 12, pp. 44-49. http://geodesic.mathdoc.fr/item/MM_2013_25_12_a3/