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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2022, Volume 39, Number 2, Pages 184–196
DOI: https://doi.org/10.26117/2079-6641-2022-39-2-184-196 (Mi vkam546) 		 
INFORMATION AND COMPUTATION TECHNOLOGIES

Locally one-dimensional schemes for an equation describing coagulation processes in convective clouds with “memory”

M. Kh. Shkhanukov-Lafisheva, M. M. Lafishevab, I. D. Taisaevc

a Institute of Applied Mathematics and Automation of KBSC RAS
b Kabardino-Balkar State University
c Kabardin-Balkar Scientific Center of KBSC RAS
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DOI: https://doi.org/10.26117/2079-6641-2022-39-2-184-196
Abstract: The paper considers a locally one-dimensional difference scheme for a general parabolic equation in a p-dimensional parallelepiped. To describe coagulation processes in media with “memory”, non-local sources of a special type are included in the equation. An a priori estimate is obtained for solving the corresponding difference scheme, which implies its convergence.
Keywords: boundary value problem, locally one-dimensional difference scheme, stability and convergence of the difference scheme, approximation error.
Document Type: Article
UDC: 519.63
MSC: 76M20
Language: Russian
Citation: M. Kh. Shkhanukov-Lafishev, M. M. Lafisheva, I. D. Taisaev, “Locally one-dimensional schemes for an equation describing coagulation processes in convective clouds with “memory””, Vestnik KRAUNC. Fiz.-Mat. Nauki, 39:2 (2022), 184–196
Citation in format AMSBIB
\Bibitem{ShkLafTai22}
\by M.~Kh.~Shkhanukov-Lafishev, M.~M.~Lafisheva, I.~D.~Taisaev
\paper Locally one-dimensional schemes for an equation describing coagulation processes in convective clouds with ``memory''
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2022
\vol 39
\issue 2
\pages 184--196
\mathnet{http://mi.mathnet.ru/vkam546}
\crossref{https://doi.org/10.26117/2079-6641-2022-39-2-184-196}
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