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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2020, Volume 17, Pages 738–752
DOI: https://doi.org/10.33048/semi.2020.17.053 (Mi semr1247) 		 
Computational mathematics

On the stability and convergence of difference schemes for the generalized fractional diffusion equation with Robin boundary value conditions

A. K. Bazzaevab

a North-Ossetian State University, 44–46, Vatutina str., Vladikavkaz, 362025, Russia
b Vladikavkaz Institute of Management, 14, Borodinskaya str., Vladikavkaz, 362025, Russia
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DOI: https://doi.org/10.33048/semi.2020.17.053
Abstract: In this work a difference schemes of higher order approximation are constructed for the generalized diffusion equation of fractional order with the Robin boundary value conditions. Using the maximum principle, we obtain a priori estimates and prove the stability and the uniform convergence of difference schemes.
Keywords: fractional derivative, Caputo fractional derivative, difference schemes, Robin boundary value conditions, maximum principle, convergence and stability.
Received August 28, 2019, published June 4, 2020
Bibliographic databases:
Document Type: Article
UDC: 519.633
MSC: 65M12
Language: Russian
Citation: A. K. Bazzaev, “On the stability and convergence of difference schemes for the generalized fractional diffusion equation with Robin boundary value conditions”, Sib. Èlektron. Mat. Izv., 17 (2020), 738–752
Citation in format AMSBIB
\Bibitem{Baz20}
\by A.~K.~Bazzaev
\paper On the stability and convergence of difference schemes for the generalized fractional diffusion equation with Robin boundary value conditions
\jour Sib. \`Elektron. Mat. Izv.
\yr 2020
\vol 17
\pages 738--752
\mathnet{http://mi.mathnet.ru/semr1247}
\crossref{https://doi.org/10.33048/semi.2020.17.053}
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