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 | Sciact - Система учета научной деятельности ИМ СО РАН

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 Научная публикация

Журнал

Computational Mathematics and Mathematical Physics
ISSN: 0965-5425 , E-ISSN: 1555-6662

Вых. Данные

Год: 2022, Том: 62, Номер: 3, Страницы: 441-451 Страниц : 11 DOI: 10.1134/s0965542522030022

Ключевые слова

inverse boundary value problem, inverse problem with data on the position of a reaction front, reaction-diffusion-advection equation

Авторы

Argun R.L. ¹ , Gorbachev A.V. ¹ , Lukyanenko D.V. ^1,2 , Shishlenin M.A ^3,4

Организации

1	Faculty of Physics, Lomonosov Moscow State University, Moscow
2	Moscow Center for Fundamental and Applied Mathematics, Lomonosov Moscow State University, Moscow
3	Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk
4	Novosibirsk State University, Novosibirsk

Информация о финансировании (1)

Российский фонд фундаментальных исследований

20-31-70016

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.

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

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

Опубликована online:	18 апр. 2022 г.
Опубликована в печати:	13 мая 2022 г.

Web of science:	WOS:000783044700009
Scopus:	2-s2.0-85128224402
РИНЦ:	48428714
OpenAlex:	W4224024644

БД	Цитирований
Scopus	2
Web of science	2
OpenAlex	2