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News of the Kabardin-Balkar scientific center of RAS, 2015, Issue 3, Pages 33–40 (Mi izkab281)  
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS. MATHEMATIC MODELING

Stability and convergence of differences schemes approximating boundary value problems for equation of Allera with the fractional derivative on time

Ph. A. Karova

Kabardin-Balkar State University named after H.M. Berbekov, 360004, KBR, Nalchik, 173, Chernyshevsky street
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Abstract: Moisture movement in capillary porous environments is described by the equation of Allera. Solutions of boundary value problems for the equation of Allera in differential and difference settings are studied. By the method of energy inequalities for the solution of the difference problem, we obtain a priori estimates. The obtained results are supported by numerical calculations carried out for some test problem.
Keywords: fractional derivative, a priori estimate, difference scheme, stability and convergence.
Received: 17.02.2015
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: Ph. A. Karova, “Stability and convergence of differences schemes approximating boundary value problems for equation of Allera with the fractional derivative on time”, News of the Kabardin-Balkar scientific center of RAS, 2015, no. 3, 33–40
Citation in format AMSBIB
\Bibitem{Kar15}
\by Ph.~A.~Karova
\paper Stability and convergence
of differences schemes approximating boundary
value problems for equation of Allera
with the fractional derivative on time
\jour News of the Kabardin-Balkar scientific center of RAS
\yr 2015
\issue 3
\pages 33--40
\mathnet{http://mi.mathnet.ru/izkab281}
\elib{https://elibrary.ru/item.asp?id=https://www.elibrary.ru/item.asp?id=23936832}
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    		News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences
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