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Sibirskii Zhurnal Industrial'noi Matematiki, 2017, Volume 20, Number 4, Pages 22–28
DOI: https://doi.org/10.17377/sibjim.2017.20.403 (Mi sjim975) 		 
This article is cited in 3 scientific papers (total in 3 papers)

A numerical study of a two-dimensional mathematical model with a variable heat transfer coefficient arising in cryosurgery

B. K. Buzdov

Institute of Computer Science and Problems of Regional Managemnet of KBSC RAS, 37a I. Armand str., 360000 Nalchik
Full-text PDF (282 kB) Citations (3)
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DOI: https://doi.org/10.17377/sibjim.2017.20.403
Abstract: A two-dimensional boundary value problem of Stefan type with nonlinear heat sources of a special type and a variable heat transfer coefficient is posed and solved numerically. The model arises in cryosurgery when a living biological tissue is frozen by a cylindrical cryoinstrument located on its surface. The model takes into account the actually observed effect of spatial heat localization. Some results of computer calculations are given.
Keywords: mathematical models in cryosurgery, Stefan type problems, spatial heat localization.
Received: 03.11.2016
English version:
Journal of Applied and Industrial Mathematics, 2017, Volume 11, Issue 4, Pages 494–499
DOI: https://doi.org/10.1134/S1990478917040056
Bibliographic databases:
Document Type: Article
UDC: 519.711.3
Language: Russian
Citation: B. K. Buzdov, “A numerical study of a two-dimensional mathematical model with a variable heat transfer coefficient arising in cryosurgery”, Sib. Zh. Ind. Mat., 20:4 (2017), 22–28; J. Appl. Industr. Math., 11:4 (2017), 494–499
Citation in format AMSBIB
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\paper A numerical study of a~two-dimensional mathematical model with a~variable heat transfer coefficient arising in cryosurgery
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\vol 20
\issue 4
\pages 22--28
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\crossref{https://doi.org/10.17377/sibjim.2017.20.403}
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\transl
\jour J. Appl. Industr. Math.
\yr 2017
\vol 11
\issue 4
\pages 494--499
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