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News of the Kabardin-Balkar scientific center of RAS, 1999, Issue 1, Pages 35–41 (Mi izkab857)  

MATHEMATICS

Local one-dimensional scheme for the fractional order diffusion equation in a p-dimensional parallelepiped

F. M. Nakhusheva, M. H. Shhanukov-Lafishev

Institute of Applied Mathematics and Automation, Nalchik
Abstract: In this work, a locally one-dimensional Samarsky scheme is constructed for the fractional order diffusion equation in a p-dimensional parallelepiped. To solve the first boundary value problem, an a priori estimate in the uniform metric is obtained.
Keywords: fractional derivative, parallelepiped, locally one-dimensional scheme
Document Type: Article
UDC: 517.549.8
Language: Russian
Citation: F. M. Nakhusheva, M. H. Shhanukov-Lafishev, “Local one-dimensional scheme for the fractional order diffusion equation in a p-dimensional parallelepiped”, News of the Kabardin-Balkar scientific center of RAS, 1999, no. 1, 35–41
Citation in format AMSBIB
\Bibitem{NakShh99}
\by F.~M.~Nakhusheva, M.~H.~Shhanukov-Lafishev
\paper Local one-dimensional scheme for the fractional order diffusion equation in a p-dimensional parallelepiped
\jour News of the Kabardin-Balkar scientific center of RAS
\yr 1999
\issue 1
\pages 35--41
\mathnet{http://mi.mathnet.ru/izkab857}
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