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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 11, Pages 1752–1755
DOI: https://doi.org/10.7868/S0044466914110027 (Mi zvmmf10110) 		 
This article is cited in 3 scientific papers (total in 3 papers)

A solution method for a nonlocal problem for a system of linear differential equations

A. A. Abramovab, L. F. Yukhnocd

a Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
b Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia
c Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047, Russia
d National Research Nuclear University, Kashirskoe sh., 31, Moscow, 115409, Russia
Full-text PDF (188 kB) Citations (3)
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DOI: https://doi.org/10.7868/S0044466914110027
Abstract: For a system of linear ordinary differential equations supplemented by a linear nonlocal condition specified by the Stieltjes integral, a solution method is examined. Unlike the familiar methods for solving problems of this type, the proposed method does not use any specially chosen auxiliary boundary conditions. This method is numerically stable if the original problem is numerically stable.
Key words: linear system of ordinary differential equations, nonlocal condition, numerical stability.
Received: 04.02.2014
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 11, Pages 1686–1689
DOI: https://doi.org/10.1134/S0965542514110025
Bibliographic databases:
Document Type: Article
UDC: 519.622.2
Language: Russian
Citation: A. A. Abramov, L. F. Yukhno, “A solution method for a nonlocal problem for a system of linear differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 54:11 (2014), 1752–1755; Comput. Math. Math. Phys., 54:11 (2014), 1686–1689
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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