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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2017 Volume 20, Number 4, Pages 22–28 (Mi sjim975)

This article is cited 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.

UDC: 519.711.3

Received: 03.11.2016

DOI: 10.17377/sibjim.2017.20.403


 English version:
Journal of Applied and Industrial Mathematics, 2017, 11:4, 494–499

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