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News of the Kabardin-Balkar scientific center of RAS, 2018, Issue 5, Pages 34–43 (Mi izkab60)  
This article is cited in 2 scientific papers (total in 2 papers)

COMPUTER SCIENCE. CALCULATION EQUIPMENT. MANAGEMENT

Numerical method for solving the local problem for a parabolic equation with a fractive derivative in time with a mediated heat capacity

F. M. Nakhusheva, M. M. Lafisheva, M. M. Karmokov, M. A. Dzhankulaeva

FSBI HE «Kabardino-Balkaria State University by H.M. Berbekov», 360004, Nalchik, Street Chernyshevskogo, 165
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Abstract: The paper considers a parabolic equation with variable coefficients with a fractional derivative with respect to time, when a concentrated heat capacity of a certain value is placed on the boundary of the region. A priori estimates in the differential and difference interpretations are obtained. Numerical calculations using the sweep method are conducted.
Keywords: fractional order derivative, solution stability, prior estimate, stability of the difference scheme.
Received: 08.09.2018
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: F. M. Nakhusheva, M. M. Lafisheva, M. M. Karmokov, M. A. Dzhankulaeva, “Numerical method for solving the local problem for a parabolic equation with a fractive derivative in time with a mediated heat capacity”, News of the Kabardin-Balkar scientific center of RAS, 2018, no. 5, 34–43
Citation in format AMSBIB
\Bibitem{NakLafKar18}
\by F.~M.~Nakhusheva, M.~M.~Lafisheva, M.~M.~Karmokov, M.~A.~Dzhankulaeva
\paper Numerical method for solving the local problem
for a parabolic equation with a fractive derivative
in time with a mediated heat capacity
\jour News of the Kabardin-Balkar scientific center of RAS
\yr 2018
\issue 5
\pages 34--43
\mathnet{http://mi.mathnet.ru/izkab60}
\elib{https://elibrary.ru/item.asp?id=https://www.elibrary.ru/item.asp?id=36394362}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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