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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2012, Volume 15, Number 3, Pages 251–260 (Mi sjvm477)  
This article is cited in 1 scientific paper (total in 1 paper)

The method of conjugate operators for solving boundary value problems for ordinary second order differential equations

A. F. Voevodin

Lavrent'ev Institute of Hydrodynamics, Novosibirsk
Full-text PDF (181 kB) Citations (1)
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Abstract: In this paper, for a linear boundary value problem, we propose a method that reduces a solution to a differential problem to a discrete (difference) problem. Difference equations, which are an exact analog of differential equation, are constructed by the conjugate operator method. Conjugate equations are solved by the factorization method.
Key words: boundary value problem, conjugate operator, difference equations, condition numbers.
Received: 12.08.2011
Revised: 08.11.2011
English version:
Numerical Analysis and Applications, 2012, Volume 5, Issue 3, Pages 204–212
DOI: https://doi.org/10.1134/S1995423912030020
Bibliographic databases:
Document Type: Article
UDC: 519.632.4
Language: Russian
Citation: A. F. Voevodin, “The method of conjugate operators for solving boundary value problems for ordinary second order differential equations”, Sib. Zh. Vychisl. Mat., 15:3 (2012), 251–260; Num. Anal. Appl., 5:3 (2012), 204–212
Citation in format AMSBIB
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\by A.~F.~Voevodin
\paper The method of conjugate operators for solving boundary value problems for ordinary second order differential equations
\jour Sib. Zh. Vychisl. Mat.
\yr 2012
\vol 15
\issue 3
\pages 251--260
\mathnet{http://mi.mathnet.ru/sjvm477}
\elib{https://elibrary.ru/item.asp?id=20479445}
\transl
\jour Num. Anal. Appl.
\yr 2012
\vol 5
\issue 3
\pages 204--212
\crossref{https://doi.org/10.1134/S1995423912030020}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84865816269}
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    • 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
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