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Mathematical notes of NEFU, 2022, Volume 29, Issue 3, Pages 108–127
DOI: https://doi.org/10.25587/SVFU.2022.87.84.009
(Mi svfu363)
 

Mathematical modeling

On numerical solving an inverse problem for a mixed parabolic-hyperbolic type equation of finding the right-hand side

Sh. B. Merajova

Bukhara State University
Abstract: The paper proposes algorithms for numerical solving an inverse problem for a mixed parabolic-hyperbolic type equation with a nonlocal condition for finding the right-hand side of the equation. It was assumed that the function included in the nonlocal condition and the function that is additional information for solving the inverse problem may be known with some error, since they are the result of practical measurements. Three algorithms for the numerical solution are proposed. The numerical experiments of testing the proposed algorithms are presented.
Keywords: mixed parabolic-hyperbolic type equation, nonlocal condition, inverse prob-lem, Fredholm equation of the 1st kind, residual functional, regularization.
Received: 23.05.2022
Accepted: 31.08.2022
Document Type: Article
UDC: 519.633.6+519.642.3
Language: Russian
Citation: Sh. B. Merajova, “On numerical solving an inverse problem for a mixed parabolic-hyperbolic type equation of finding the right-hand side”, Mathematical notes of NEFU, 29:3 (2022), 108–127
Citation in format AMSBIB
\Bibitem{Mer22}
\by Sh.~B.~Merajova
\paper On numerical solving an inverse problem for a mixed parabolic-hyperbolic type equation of finding the right-hand side
\jour Mathematical notes of NEFU
\yr 2022
\vol 29
\issue 3
\pages 108--127
\mathnet{http://mi.mathnet.ru/svfu363}
\crossref{https://doi.org/10.25587/SVFU.2022.87.84.009}
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