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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 6, Pages 914–937
DOI: https://doi.org/10.7868/S0044466913060069 (Mi zvmmf9840) 		 
This article is cited in 22 scientific papers (total in 22 papers)

An algorithm for solving a linear two-point boundary value problem for an integrodifferential equation

D. S. Dzhumabaev

Institute of Mathematics, Ministry of Education and Science of the Republic of Kazakhstan, Almaty
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DOI: https://doi.org/10.7868/S0044466913060069
Abstract: Family of algorithms for solving a linear two-point boundary value problem is constructed in terms of the data of the integrodifferential equation and the boundary condition involved. The convergence conditions for the algorithms are established, and necessary and sufficient conditions for the well-posedness of the problem are found.
Key words: linear two-point boundary value problem for an integrodifferential equation, parametrization method, family of solution-finding algorithms, necessary and sufficient conditions for well-posedness.
Received: 14.12.2011
Revised: 18.01.2012
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 6, Pages 736–758
DOI: https://doi.org/10.1134/S0965542513060067
Bibliographic databases:
Document Type: Article
UDC: 517.624.2
Language: Russian
Citation: D. S. Dzhumabaev, “An algorithm for solving a linear two-point boundary value problem for an integrodifferential equation”, Zh. Vychisl. Mat. Mat. Fiz., 53:6 (2013), 914–937; Comput. Math. Math. Phys., 53:6 (2013), 736–758
Citation in format AMSBIB
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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