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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
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
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
Linking options:
https://www.mathnet.ru/eng/sjim975 https://www.mathnet.ru/eng/sjim/v20/i4/p22
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Abstract page: | 240 | Full-text PDF : | 77 | References: | 40 | First page: | 10 |
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