Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics], 2018, Issue 1, Pages 69–87
DOI: https://doi.org/10.26456/vtpmk162 (Mi vtpmk162) 		 
Mathematical Modelling, Numerical Methods and Software Systems

Numerical solution to inverse problems for linear parabolic equation

A. B. Ragimov

Institute of Control Systems, National Academy of Sciences of Azerbaijan, Baku
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DOI: https://doi.org/10.26456/vtpmk162
Abstract: In the paper, the inverse problems for a parabolic equation with unknown coefficients on the right-hand side are considered. Boundary value problems with nonlocal conditions are reduced to such problems. We investigate separately two cases: unknown coefficients depend on either time variable only or phase coordinates only. A numerical method to solve the problems by using the method of lines is suggested. The results of numerical experiments on test problems are given.
Keywords: inverse problem, nonlocal conditions, method of lines, parabolic equation, parametric identification.
Received: 21.09.2017
Revised: 01.03.2018
Bibliographic databases:
Document Type: Article
UDC: 519.633
MSC: 35R30, 35K20, 65N40, 65N21
Language: Russian
Citation: A. B. Ragimov, “Numerical solution to inverse problems for linear parabolic equation”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2018, no. 1, 69–87
Citation in format AMSBIB
\Bibitem{Rah18}
\by A.~B.~Ragimov
\paper Numerical solution to inverse problems for linear parabolic equation
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2018
\issue 1
\pages 69--87
\mathnet{http://mi.mathnet.ru/vtpmk162}
\crossref{https://doi.org/10.26456/vtpmk162}
\elib{https://elibrary.ru/item.asp?id=32697537}
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