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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
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.
Received: 11.12.2019 Revised: 03.02.2020 Accepted: 09.04.2020
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
Linking options:
https://www.mathnet.ru/eng/zvmmf11134 https://www.mathnet.ru/eng/zvmmf/v60/i9/p1566
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Abstract page: | 113 | References: | 17 |
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