Features of Numerical Reconstruction of a Boundary Condition in an Inverse Problem for a Reaction–Diffusion–Advection Equation with Data on the Position of a Reaction Front Full article
| Journal |
Computational Mathematics and Mathematical Physics
ISSN: 0965-5425 , E-ISSN: 1555-6662 |
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| Output data | Year: 2022, Volume: 62, Number: 3, Pages: 441-451 Pages count : 11 DOI: 10.1134/s0965542522030022 | ||||||||
| Tags | inverse boundary value problem, inverse problem with data on the position of a reaction front, reaction-diffusion-advection equation | ||||||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Foundation for Basic Research | 20-31-70016 |
Abstract:
A new approach to the reconstruction of a boundary condition in an inverse problem for a nonlinear singularly perturbed reaction–diffusion–advection equation with data on the reaction front position is proposed. The problem is solved via gradient minimization of a cost functional with an initial approximation chosen by applying asymptotic analysis methods. The efficiency of the proposed approach is demonstrated by numerical experiments.
Cite:
Argun R.L.
, Gorbachev A.V.
, Lukyanenko D.V.
, Shishlenin M.A.
Features of Numerical Reconstruction of a Boundary Condition in an Inverse Problem for a Reaction–Diffusion–Advection Equation with Data on the Position of a Reaction Front
Computational Mathematics and Mathematical Physics. 2022. V.62. N3. P.441-451. DOI: 10.1134/s0965542522030022 WOS Scopus РИНЦ OpenAlex
Features of Numerical Reconstruction of a Boundary Condition in an Inverse Problem for a Reaction–Diffusion–Advection Equation with Data on the Position of a Reaction Front
Computational Mathematics and Mathematical Physics. 2022. V.62. N3. P.441-451. DOI: 10.1134/s0965542522030022 WOS Scopus РИНЦ OpenAlex
Original:
Аргун Р.Л.
, Горбачев А.В.
, Лукьяненко Д.В.
, Шишленин М.А.
Особенности численного восстановления граничного условия в обратной задаче для уравнения типа реакция-диффузия-адвекция с данными о положении фронта реакции
Журнал вычислительной математики и математической физики. 2022. Т.62. №3. С.451-461. DOI: 10.31857/S0044466922030024 РИНЦ OpenAlex
Особенности численного восстановления граничного условия в обратной задаче для уравнения типа реакция-диффузия-адвекция с данными о положении фронта реакции
Журнал вычислительной математики и математической физики. 2022. Т.62. №3. С.451-461. DOI: 10.31857/S0044466922030024 РИНЦ OpenAlex
Dates:
| Published online: | Apr 18, 2022 |
| Published print: | May 13, 2022 |
Identifiers:
| Web of science: | WOS:000783044700009 |
| Scopus: | 2-s2.0-85128224402 |
| Elibrary: | 48428714 |
| OpenAlex: | W4224024644 |