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Numerical Solving The Heat Equation With Data On A Time-Like Boundary For The Heated Thin Foil Technique. / Karchevsky, A. L.

In: Eurasian Journal of Mathematical and Computer Applications, Vol. 8, No. 4, 2020, p. 4-14.

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

Harvard

Karchevsky, AL 2020, 'Numerical Solving The Heat Equation With Data On A Time-Like Boundary For The Heated Thin Foil Technique', Eurasian Journal of Mathematical and Computer Applications, vol. 8, no. 4, pp. 4-14. https://doi.org/10.32523/2306-6172-2020-8-4-4-14

APA

Karchevsky, A. L. (2020). Numerical Solving The Heat Equation With Data On A Time-Like Boundary For The Heated Thin Foil Technique. Eurasian Journal of Mathematical and Computer Applications, 8(4), 4-14. https://doi.org/10.32523/2306-6172-2020-8-4-4-14

Vancouver

Karchevsky AL. Numerical Solving The Heat Equation With Data On A Time-Like Boundary For The Heated Thin Foil Technique. Eurasian Journal of Mathematical and Computer Applications. 2020;8(4):4-14. doi: 10.32523/2306-6172-2020-8-4-4-14

Author

Karchevsky, A. L. / Numerical Solving The Heat Equation With Data On A Time-Like Boundary For The Heated Thin Foil Technique. In: Eurasian Journal of Mathematical and Computer Applications. 2020 ; Vol. 8, No. 4. pp. 4-14.

BibTeX

@article{18d75f637a3d49fd9a2bfd20b4ed616b,
title = "Numerical Solving The Heat Equation With Data On A Time-Like Boundary For The Heated Thin Foil Technique",
abstract = "In this paper, a numerical algorithm for solving the heat equation with data on a time-like boundary is presented. This result is necessary for the heated thin foil technique, which is used to study stationary and non-stationary transport processes in the region of the “solid-liquid-vapor” contact line. The algorithm was tested on real data obtained during laboratory experiments.",
keywords = "heat equation with data on a time-like boundary, heated thin foil technique, Volterra integral equation of the 1st kind of convolution type",
author = "Karchevsky, {A. L.}",
note = "Funding Information: This work is supported by the Russian Science Foundation, project 18-19-00538. Publisher Copyright: {\textcopyright} 2020, Eurasian Journal of Mathematical and Computer Applications.All RightsReserved",
year = "2020",
doi = "10.32523/2306-6172-2020-8-4-4-14",
language = "English",
volume = "8",
pages = "4--14",
journal = "Eurasian Journal of Mathematical and Computer Applications",
issn = "2306-6172",
publisher = "L. N. Gumilyov Eurasian National University",
number = "4",

}

RIS

TY - JOUR

T1 - Numerical Solving The Heat Equation With Data On A Time-Like Boundary For The Heated Thin Foil Technique

AU - Karchevsky, A. L.

N1 - Funding Information: This work is supported by the Russian Science Foundation, project 18-19-00538. Publisher Copyright: © 2020, Eurasian Journal of Mathematical and Computer Applications.All RightsReserved

PY - 2020

Y1 - 2020

N2 - In this paper, a numerical algorithm for solving the heat equation with data on a time-like boundary is presented. This result is necessary for the heated thin foil technique, which is used to study stationary and non-stationary transport processes in the region of the “solid-liquid-vapor” contact line. The algorithm was tested on real data obtained during laboratory experiments.

AB - In this paper, a numerical algorithm for solving the heat equation with data on a time-like boundary is presented. This result is necessary for the heated thin foil technique, which is used to study stationary and non-stationary transport processes in the region of the “solid-liquid-vapor” contact line. The algorithm was tested on real data obtained during laboratory experiments.

KW - heat equation with data on a time-like boundary

KW - heated thin foil technique

KW - Volterra integral equation of the 1st kind of convolution type

UR - http://www.scopus.com/inward/record.url?scp=85098957872&partnerID=8YFLogxK

U2 - 10.32523/2306-6172-2020-8-4-4-14

DO - 10.32523/2306-6172-2020-8-4-4-14

M3 - Article

AN - SCOPUS:85098957872

VL - 8

SP - 4

EP - 14

JO - Eurasian Journal of Mathematical and Computer Applications

JF - Eurasian Journal of Mathematical and Computer Applications

SN - 2306-6172

IS - 4

ER -

ID: 35676101