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A difference scheme for a conjugate-operator model of a heat conduction problem in polar coordinates. / Sorokin, S. B.

In: Numerical Analysis and Applications, Vol. 10, No. 3, 01.07.2017, p. 244-258.

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

Harvard

Sorokin, SB 2017, 'A difference scheme for a conjugate-operator model of a heat conduction problem in polar coordinates', Numerical Analysis and Applications, vol. 10, no. 3, pp. 244-258. https://doi.org/10.1134/S1995423917030065

APA

Sorokin, S. B. (2017). A difference scheme for a conjugate-operator model of a heat conduction problem in polar coordinates. Numerical Analysis and Applications, 10(3), 244-258. https://doi.org/10.1134/S1995423917030065

Vancouver

Sorokin SB. A difference scheme for a conjugate-operator model of a heat conduction problem in polar coordinates. Numerical Analysis and Applications. 2017 Jul 1;10(3):244-258. doi: 10.1134/S1995423917030065

Author

Sorokin, S. B. / A difference scheme for a conjugate-operator model of a heat conduction problem in polar coordinates. In: Numerical Analysis and Applications. 2017 ; Vol. 10, No. 3. pp. 244-258.

BibTeX

@article{dc97d3b60f4848c0a617f746eb76c9b4,
title = "A difference scheme for a conjugate-operator model of a heat conduction problem in polar coordinates",
abstract = "In polar coordinates, a discrete analog of the conjugate-operator model of a heat conduction problem is formulated to hold the structure of the original model. The difference scheme converges with second-order accuracy in the case of discontinuous parameters of the medium in the Fourier law and irregular grids. An efficient algorithm for solving the discrete conjugate-operator model when heat conduction tensor is a unit operator is proposed.",
keywords = "convergence, difference scheme, discrete analog, heat conduction problem, mathematical model, polar coordinates",
author = "Sorokin, {S. B.}",
year = "2017",
month = jul,
day = "1",
doi = "10.1134/S1995423917030065",
language = "English",
volume = "10",
pages = "244--258",
journal = "Numerical Analysis and Applications",
issn = "1995-4239",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "3",

}

RIS

TY - JOUR

T1 - A difference scheme for a conjugate-operator model of a heat conduction problem in polar coordinates

AU - Sorokin, S. B.

PY - 2017/7/1

Y1 - 2017/7/1

N2 - In polar coordinates, a discrete analog of the conjugate-operator model of a heat conduction problem is formulated to hold the structure of the original model. The difference scheme converges with second-order accuracy in the case of discontinuous parameters of the medium in the Fourier law and irregular grids. An efficient algorithm for solving the discrete conjugate-operator model when heat conduction tensor is a unit operator is proposed.

AB - In polar coordinates, a discrete analog of the conjugate-operator model of a heat conduction problem is formulated to hold the structure of the original model. The difference scheme converges with second-order accuracy in the case of discontinuous parameters of the medium in the Fourier law and irregular grids. An efficient algorithm for solving the discrete conjugate-operator model when heat conduction tensor is a unit operator is proposed.

KW - convergence

KW - difference scheme

KW - discrete analog

KW - heat conduction problem

KW - mathematical model

KW - polar coordinates

UR - http://www.scopus.com/inward/record.url?scp=85029181293&partnerID=8YFLogxK

U2 - 10.1134/S1995423917030065

DO - 10.1134/S1995423917030065

M3 - Article

AN - SCOPUS:85029181293

VL - 10

SP - 244

EP - 258

JO - Numerical Analysis and Applications

JF - Numerical Analysis and Applications

SN - 1995-4239

IS - 3

ER -

ID: 9914928