Reports of Adyghe (Circassian) International Academy of Sciences
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Adyghe Int. Sci. J.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Reports of Adyghe (Circassian) International Academy of Sciences, 2021, Volume 21, Issue 4, Pages 45–55
DOI: https://doi.org/10.47928/1726-9946-2021-21-4-45-55 (Mi aman30) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATH MODELING

A locally one-dimensional scheme for a general parabolic equation describing microphysical processes 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
Full-text PDF (543 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.47928/1726-9946-2021-21-4-45-55
URL: https://doklady.aman-circassian.ru/doklady-aman-t-21-4-s-45-55-issn-1726-9946
Abstract: A locally one-dimensional difference scheme for a general parabolic equation in a p-dimensional parallelepiped is considered. To describe microphysical processes in convective clouds, non-local (nonlinear) integral sources of a special type are included in the equation under consideration. An a priori estimate for the solution of a locally one-dimensional scheme is obtained and its convergence is proved.
Keywords: boundary value problem, locally one-dimensional scheme, stability, convergence of the scheme, approximation error.
Bibliographic databases:
Document Type: Article
UDC: \udk{УДК 519.63}
Language: Russian
Citation: B. A. Ashabokov, A. Kh. Khibiev, M. H. Shhanukov-Lafishev, “A locally one-dimensional scheme for a general parabolic equation describing microphysical processes in convective clouds”, Reports of AIAS, 21:4 (2021), 45–55
Citation in format AMSBIB
\Bibitem{AshKhiShh21}
\by B.~A.~Ashabokov, A.~Kh.~Khibiev, M.~H.~Shhanukov-Lafishev
\paper A locally one-dimensional scheme for a general parabolic equation describing microphysical processes in convective clouds
\jour Reports of AIAS
\yr 2021
\vol 21
\issue 4
\pages 45--55
\mathnet{http://mi.mathnet.ru/aman30}
\crossref{https://doi.org/10.47928/1726-9946-2021-21-4-45-55}
\elib{https://elibrary.ru/item.asp?id=47507048}
Linking options:
  • https://www.mathnet.ru/eng/aman30
  • https://www.mathnet.ru/eng/aman/v21/i4/p45
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Adyghe International Scientific Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025