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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
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
Linking options:
https://www.mathnet.ru/eng/svfu363 https://www.mathnet.ru/eng/svfu/v29/i3/p108
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