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

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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. / Argun, R. L.; Gorbachev, A. V.; Lukyanenko, D. V. et al.

In: Computational Mathematics and Mathematical Physics, Vol. 62, No. 3, 03.2022, p. 441-451.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{12879a8b5fb046fbbbb5129d399b843c,

title = "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",

abstract = "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.",

keywords = "inverse boundary value problem, inverse problem with data on the position of a reaction front, reaction–diffusion–advection equation",

author = "Argun, {R. L.} and Gorbachev, {A. V.} and Lukyanenko, {D. V.} and Shishlenin, {M. A.}",

note = "Funding Information: This work was supported by the Russian Foundation for Basic Research, project no. 20-31-70016. Publisher Copyright: {\textcopyright} 2022, Pleiades Publishing, Ltd.",

year = "2022",

month = mar,

doi = "10.1134/S0965542522030022",

language = "English",

volume = "62",

pages = "441--451",

journal = "Computational Mathematics and Mathematical Physics",

issn = "0965-5425",

publisher = "PLEIADES PUBLISHING INC",

number = "3",

}

RIS

TY - JOUR

T1 - 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

AU - Argun, R. L.

AU - Gorbachev, A. V.

AU - Lukyanenko, D. V.

AU - Shishlenin, M. A.

PY - 2022/3

Y1 - 2022/3

N2 - 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.

AB - 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.

KW - inverse boundary value problem

KW - inverse problem with data on the position of a reaction front

KW - reaction–diffusion–advection equation

UR - http://www.scopus.com/inward/record.url?scp=85128224402&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/8836be96-7fec-33f6-8550-cdcea87e8bd7/

U2 - 10.1134/S0965542522030022

DO - 10.1134/S0965542522030022

M3 - Article

AN - SCOPUS:85128224402

VL - 62

SP - 441

EP - 451

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 3

ER -

ID: 35934997