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Matematicheskoe modelirovanie, 2013, Volume 25, Number 12, Pages 44–49 (Mi mm3428)  
Anomalous diffusion simulation of the effects for drainage systems

N. M. Kashchenko, M. A. Nikitin

Kant Baltic State University
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Abstract: 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, anomalous diffusion, fractal geometry, partial differential equations of fractional derivatives, filtration.
Received: 14.06.2012
Revised: 18.02.2013
English version:
Mathematical Models and Computer Simulations, 2014, Volume 6, Issue 4, Pages 337–341
DOI: https://doi.org/10.1134/S2070048214040048
Bibliographic databases:
Document Type: Article
UDC: 519.6:631.616
Language: Russian
Citation: N. M. Kashchenko, M. A. Nikitin, “Anomalous diffusion simulation of the effects for drainage systems”, Matem. Mod., 25:12 (2013), 44–49; Math. Models Comput. Simul., 6:4 (2014), 337–341
Citation in format AMSBIB
\Bibitem{KasNik13}
\by N.~M.~Kashchenko, M.~A.~Nikitin
\paper Anomalous diffusion simulation of the effects for drainage systems
\jour Matem. Mod.
\yr 2013
\vol 25
\issue 12
\pages 44--49
\mathnet{http://mi.mathnet.ru/mm3428}
\transl
\jour Math. Models Comput. Simul.
\yr 2014
\vol 6
\issue 4
\pages 337--341
\crossref{https://doi.org/10.1134/S2070048214040048}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925944836}
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    		Математическое моделирование
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