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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 9, Pages 1619–1628 (Mi zvmmf111)  
This article is cited in 59 scientific papers (total in 59 papers)

Boundary value problems for certain classes of loaded differential equations and solving them by finite difference methods

A. A. Alikhanovab, A. M. Berezgovab, M. H. Shhanukov-Lafishevab

a Kabardino-Balkar State University, ul. Chernyshevskogo 173, Nal'chik, 360004, Russia
b Institute for Problems of Information Science and Regional Management, Kabardino-Balkar Scientific Center, Russian Academy of Sciences
Full-text PDF (856 kB) Citations (59)
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Abstract: Boundary value problems for loaded ordinary and partial differential equations are considered. A priori bounds are obtained for solutions to differential and difference equations. These bounds imply the stability and convergence of difference schemes for the equations under consideration.
Key words: boundary value problems, a priori bound, difference scheme, stability and convergence of difference schemes, loaded differential equation.
Received: 23.05.2007
Revised: 21.10.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 9, Pages 1581–1590
DOI: https://doi.org/10.1134/S096554250809008X
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: A. A. Alikhanov, A. M. Berezgov, M. H. Shhanukov-Lafishev, “Boundary value problems for certain classes of loaded differential equations and solving them by finite difference methods”, Zh. Vychisl. Mat. Mat. Fiz., 48:9 (2008), 1619–1628; Comput. Math. Math. Phys., 48:9 (2008), 1581–1590
Citation in format AMSBIB
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    • This publication is cited in the following 59 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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