Recovering a Time-Dependent Diffusion Coefficient from Nonlocal Data

Recovering a Time-Dependent Diffusion Coefficient from Nonlocal Data Full article

Journal

Numerical Analysis and Applications
ISSN: 1995-4239

Output data

Year: 2018, Volume: 11, Number: 1, Pages: 38-44 Pages count : 7 DOI: 10.1134/S1995423918010056

Tags

nonlocal condition; numerical methods; parabolic equation; time-dependent coefficient inverse problem

Authors

Kabanikhin S.I. ^1,2,3 , Shishlenin M.A. ^1,2,3

Affiliations

1	Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090, Russian Federation
2	Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russian Federation
3	Novosibirsk State University, ul. Pirogova 1, Novosibirsk, 630090, Russian Federation

In this paper, an inverse problem of recovering a leading time-dependent coefficient from nonlocal additional information is investigated. To approximately solve the nonlinear inverse problems, we propose a gradient method of minimizing an objective functional. A comparative analysis with a method based on a linearized approximation scheme with respect to time is performed. The results of numerical calculations are presented. © 2018, Pleiades Publishing, Ltd.

Kabanikhin S.I. , Shishlenin M.A.
Recovering a Time-Dependent Diffusion Coefficient from Nonlocal Data
Numerical Analysis and Applications. 2018. V.11. N1. P.38-44. DOI: 10.1134/S1995423918010056 WOS Scopus OpenAlex

Web of science:	WOS:000427431900004
Scopus:	2-s2.0-85043690732
OpenAlex:	W2794068471

DB	Citing
Scopus	24
OpenAlex	24
Web of science	21