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This article is cited in 5 scientific papers (total in 5 papers)
Partial Differential Equations
Approximate solution of inverse problems for the heat equation with a singular perturbation
A. M. Denisov Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, 119991, Moscow, Russia
Abstract:
For the heat conduction equation with a singular perturbation corresponding to a small heat capacity or a small heat conductivity, inverse problems of determining the boundary or initial condition or the source term from additional information about the solution of the equation are considered. The possibility of using the expansion in a small parameter of the solution to the equation for the approximate solution of inverse problems is studied.
Key words:
heat equation, singular perturbation, inverse problems, approximate solution.
Received: 18.11.2020 Revised: 16.01.2021 Accepted: 04.08.2021
Citation:
A. M. Denisov, “Approximate solution of inverse problems for the heat equation with a singular perturbation”, Zh. Vychisl. Mat. Mat. Fiz., 61:12 (2021), 2040–2049; Comput. Math. Math. Phys., 61:12 (2021), 2004–2014
Linking options:
https://www.mathnet.ru/eng/zvmmf11329 https://www.mathnet.ru/eng/zvmmf/v61/i12/p2040
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