Standard

Recovering a Time-Dependent Diffusion Coefficient from Nonlocal Data. / Kabanikhin, S. I.; Shishlenin, M. A.

In: Numerical Analysis and Applications, Vol. 11, No. 1, 01.01.2018, p. 38-44.

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

Harvard

Kabanikhin, SI & Shishlenin, MA 2018, 'Recovering a Time-Dependent Diffusion Coefficient from Nonlocal Data', Numerical Analysis and Applications, vol. 11, no. 1, pp. 38-44. https://doi.org/10.1134/S1995423918010056

APA

Kabanikhin, S. I., & Shishlenin, M. A. (2018). Recovering a Time-Dependent Diffusion Coefficient from Nonlocal Data. Numerical Analysis and Applications, 11(1), 38-44. https://doi.org/10.1134/S1995423918010056

Vancouver

Kabanikhin SI, Shishlenin MA. Recovering a Time-Dependent Diffusion Coefficient from Nonlocal Data. Numerical Analysis and Applications. 2018 Jan 1;11(1):38-44. doi: 10.1134/S1995423918010056

Author

Kabanikhin, S. I. ; Shishlenin, M. A. / Recovering a Time-Dependent Diffusion Coefficient from Nonlocal Data. In: Numerical Analysis and Applications. 2018 ; Vol. 11, No. 1. pp. 38-44.

BibTeX

@article{f81e9b8a287f4df4b186af23ffc43054,
title = "Recovering a Time-Dependent Diffusion Coefficient from Nonlocal Data",
abstract = "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.",
keywords = "nonlocal condition, numerical methods, parabolic equation, time-dependent coefficient inverse problem",
author = "Kabanikhin, {S. I.} and Shishlenin, {M. A.}",
year = "2018",
month = jan,
day = "1",
doi = "10.1134/S1995423918010056",
language = "English",
volume = "11",
pages = "38--44",
journal = "Numerical Analysis and Applications",
issn = "1995-4239",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "1",

}

RIS

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 -

ID: 10524030