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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2020, Volume 32, Number 3, Pages 15–28
DOI: https://doi.org/10.26117/2079-6641-2020-32-3-15-28 (Mi vkam416) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Numerical solution of a boundary value problem for a loaded parabolic equation with nonlocal boundary conditions

V. M. Abdullayevab

a Azerbaijan State University of Oil and Industry, Baku
b Institute of Control Systems, National Academy of Sciences of Azerbaijan, Baku
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DOI: https://doi.org/10.26117/2079-6641-2020-32-3-15-28
Abstract: In the work, we propose a numerical method of solution to the boundary-value problem with respect to the loaded parabolic equation with nonlocal boundary conditions. We have obtained formulas and derived an algorithm for the solution of the problem. We provide the results of numerical solution to two test problems, which illustrates the efficiency of the approach proposed.
Keywords: loaded differential equations, nonlocal conditions, method of lines, transfer of boundary conditions.
Document Type: Article
UDC: 519.622.2
MSC: 65M20
Language: Russian
Citation: V. M. Abdullayev, “Numerical solution of a boundary value problem for a loaded parabolic equation with nonlocal boundary conditions”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 32:3 (2020), 15–28
Citation in format AMSBIB
\Bibitem{Abd20}
\by V.~M.~Abdullayev
\paper Numerical solution of a boundary value problem for a loaded parabolic equation with nonlocal boundary conditions
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2020
\vol 32
\issue 3
\pages 15--28
\mathnet{http://mi.mathnet.ru/vkam416}
\crossref{https://doi.org/10.26117/2079-6641-2020-32-3-15-28}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Vestnik KRAUNC. Fiziko-Matematicheskie Nauki Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
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