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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 9, Pages 1566–1575
DOI: https://doi.org/10.31857/S0044466920090057 (Mi zvmmf11134) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Total approximation method for an equation describing droplet breakup and freezing in convective clouds

B. A. Ashabokova, A. Kh. Khibievb, M. H. Shhanukov-Lafishevb

a Institute of Computer Science and Problems of Regional Management – branch of Federal public budgetary scientific establishment "Federal scientific center "Kabardin-Balkar Scientific Center of the Russian Academy of Sciences", Nal'chik
b Institute of Applied Mathematics and Automation, Nalchik
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DOI: https://doi.org/10.31857/S0044466920090057
Abstract: A locally one-dimensional scheme for a general parabolic equation in a $p$ -dimensional parallelepiped is considered. A special nonlocal integral source is added to the considered equation to describe droplet breakup and freezing in convective clouds. An a priori estimate for the solution of the locally one-dimensional scheme is obtained, and its convergence is proved.
Key words: boundary value problem, locally one-dimensional scheme, stability, convergence of scheme, approximation error.
Funding agency Grant number
Russian Foundation for Basic Research 19-31-90094
This work was supported by the Russian Foundation for Basic Research, project no. 19-31-90094.
Received: 11.12.2019
Revised: 03.02.2020
Accepted: 09.04.2020
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 9, Pages 1518–1527
DOI: https://doi.org/10.1134/S0965542520090055
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: B. A. Ashabokov, A. Kh. Khibiev, M. H. Shhanukov-Lafishev, “Total approximation method for an equation describing droplet breakup and freezing in convective clouds”, Zh. Vychisl. Mat. Mat. Fiz., 60:9 (2020), 1566–1575; Comput. Math. Math. Phys., 60:9 (2020), 1518–1527
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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