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Some features of solving an inverse backward problem for a generalized Burgers' equation. / Lukyanenko, Dmitry V.; Prigorniy, Igor V.; Shishlenin, Maxim A.

In: Journal of Inverse and Ill-Posed Problems, Vol. 28, No. 5, 01.10.2020, p. 641-649.

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

Harvard

Lukyanenko, DV, Prigorniy, IV & Shishlenin, MA 2020, 'Some features of solving an inverse backward problem for a generalized Burgers' equation', Journal of Inverse and Ill-Posed Problems, vol. 28, no. 5, pp. 641-649. https://doi.org/10.1515/jiip-2020-0078

APA

Lukyanenko, D. V., Prigorniy, I. V., & Shishlenin, M. A. (2020). Some features of solving an inverse backward problem for a generalized Burgers' equation. Journal of Inverse and Ill-Posed Problems, 28(5), 641-649. https://doi.org/10.1515/jiip-2020-0078

Vancouver

Lukyanenko DV, Prigorniy IV, Shishlenin MA. Some features of solving an inverse backward problem for a generalized Burgers' equation. Journal of Inverse and Ill-Posed Problems. 2020 Oct 1;28(5):641-649. doi: 10.1515/jiip-2020-0078

Author

Lukyanenko, Dmitry V. ; Prigorniy, Igor V. ; Shishlenin, Maxim A. / Some features of solving an inverse backward problem for a generalized Burgers' equation. In: Journal of Inverse and Ill-Posed Problems. 2020 ; Vol. 28, No. 5. pp. 641-649.

BibTeX

@article{a59421f2bcec4d9788eeec48c4d0b13f,
title = "Some features of solving an inverse backward problem for a generalized Burgers' equation",
abstract = "In this paper, we consider an inverse backward problem for a nonlinear singularly perturbed parabolic equation of the Burgers' type. We demonstrate how a method of asymptotic analysis of the direct problem allows developing a rather simple algorithm for solving the inverse problem in comparison with minimization of the cost functional. Numerical experiments demonstrate the effectiveness of this approach. ",
keywords = "Inverse backward problem, reaction-diffusion-advection equation",
author = "Lukyanenko, {Dmitry V.} and Prigorniy, {Igor V.} and Shishlenin, {Maxim A.}",
year = "2020",
month = oct,
day = "1",
doi = "10.1515/jiip-2020-0078",
language = "English",
volume = "28",
pages = "641--649",
journal = "Journal of Inverse and Ill-Posed Problems",
issn = "0928-0219",
publisher = "Walter de Gruyter GmbH",
number = "5",

}

RIS

TY - JOUR

T1 - Some features of solving an inverse backward problem for a generalized Burgers' equation

AU - Lukyanenko, Dmitry V.

AU - Prigorniy, Igor V.

AU - Shishlenin, Maxim A.

PY - 2020/10/1

Y1 - 2020/10/1

N2 - In this paper, we consider an inverse backward problem for a nonlinear singularly perturbed parabolic equation of the Burgers' type. We demonstrate how a method of asymptotic analysis of the direct problem allows developing a rather simple algorithm for solving the inverse problem in comparison with minimization of the cost functional. Numerical experiments demonstrate the effectiveness of this approach.

AB - In this paper, we consider an inverse backward problem for a nonlinear singularly perturbed parabolic equation of the Burgers' type. We demonstrate how a method of asymptotic analysis of the direct problem allows developing a rather simple algorithm for solving the inverse problem in comparison with minimization of the cost functional. Numerical experiments demonstrate the effectiveness of this approach.

KW - Inverse backward problem

KW - reaction-diffusion-advection equation

UR - http://www.scopus.com/inward/record.url?scp=85094122634&partnerID=8YFLogxK

U2 - 10.1515/jiip-2020-0078

DO - 10.1515/jiip-2020-0078

M3 - Article

AN - SCOPUS:85094122634

VL - 28

SP - 641

EP - 649

JO - Journal of Inverse and Ill-Posed Problems

JF - Journal of Inverse and Ill-Posed Problems

SN - 0928-0219

IS - 5

ER -

ID: 25850084