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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2022, Volume 39, Number 2, Pages 175–183
DOI: https://doi.org/10.26117/2079-6641-2022-39-2-175-183 (Mi vkam545) 		 
INFORMATION AND COMPUTATION TECHNOLOGIES

Numerical-analytical method for solving the modified Ñauchy problem for the fractional diffusion equation

L. I. Serbina

GBOU VO Stavropol Stat Pedagogikal Institute
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DOI: https://doi.org/10.26117/2079-6641-2022-39-2-175-183
Abstract: The paper considers a numerical-analytical method for efficient search for an approximate solution of the modified Cauchy problem for a parabolic differential equation with a fractional time derivative in the sense of Riemann-Liouville, which naturally arises in the study of nonlinear features of moisture-salt transfer processes in media with a fractal structure of pore space
Keywords: diffusion equation, fractal structure, fractional differentiation operator, numerical-analytical method, discrete analog, moisture transfer, algorithm.
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: Primary 26A33; Secondary 35K57
Language: Russian
Citation: L. I. Serbina, “Numerical-analytical method for solving the modified Ñauchy problem for the fractional diffusion equation”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 39:2 (2022), 175–183
Citation in format AMSBIB
\Bibitem{Ser22}
\by L.~I.~Serbina
\paper Numerical-analytical method for solving the modified Ñauchy problem for the fractional diffusion equation
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2022
\vol 39
\issue 2
\pages 175--183
\mathnet{http://mi.mathnet.ru/vkam545}
\crossref{https://doi.org/10.26117/2079-6641-2022-39-2-175-183}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4484497}
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