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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 6, Pages 1045–1057 (Mi zvmmf458)  
This article is cited in 4 scientific papers (total in 4 papers)

Approximate method for solving the boundary value problem for a parabolic equation with inhomogeneous transmission conditions of nonideal contact type

D. A. Nomirovskii

Faculty of Cybernetics, National University of Kiev, pr. Glushkova 6, Kiev, 03022, Ukraine
Full-text PDF (1453 kB) Citations (4)
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Abstract: A linear parabolic equation in a disconnected domain with inhomogeneous transmission conditions of the nonideal contact type is studied. A generalized formulation of the problem is considered. An analogue of the Galerkin method is proposed for solving the problem, and the stability of the method is investigated. This makes it possible to prove existence and uniqueness theorems for the equation under different assumptions on the data smoothness.
Key words: parabolic equation, Galerkin method, transmission conditions, nonideal contact, solvability, generalized functions.
Received: 26.01.2004
Revised: 13.12.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 6, Pages 995–1006
DOI: https://doi.org/10.1134/S096554250606008X
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: D. A. Nomirovskii, “Approximate method for solving the boundary value problem for a parabolic equation with inhomogeneous transmission conditions of nonideal contact type”, Zh. Vychisl. Mat. Mat. Fiz., 46:6 (2006), 1045–1057; Comput. Math. Math. Phys., 46:6 (2006), 995–1006
Citation in format AMSBIB
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\paper Approximate method for solving the boundary value problem for a~parabolic equation with inhomogeneous transmission conditions of nonideal contact type
\jour Zh. Vychisl. Mat. Mat. Fiz.
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\vol 46
\issue 6
\pages 1045--1057
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\transl
\jour Comput. Math. Math. Phys.
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\vol 46
\issue 6
\pages 995--1006
\crossref{https://doi.org/10.1134/S096554250606008X}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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