TY - JOUR

T1 - Recovering a Time-Dependent Diffusion Coefficient from Nonlocal Data

AU - Kabanikhin, S. I.

AU - Shishlenin, M. A.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

KW - nonlocal condition

KW - numerical methods

KW - parabolic equation

KW - time-dependent coefficient inverse problem

UR - http://www.scopus.com/inward/record.url?scp=85043690732&partnerID=8YFLogxK

U2 - 10.1134/S1995423918010056

DO - 10.1134/S1995423918010056

M3 - Article

AN - SCOPUS:85043690732

VL - 11

SP - 38

EP - 44

JO - Numerical Analysis and Applications

JF - Numerical Analysis and Applications

SN - 1995-4239

IS - 1

ER -