Geodesic
A numerical study of a~two-dimensional mathematical model with a~variable heat transfer coefficient arising in cryosurgery
Sibirskij žurnal industrialʹnoj matematiki, Tome 20 (2017) no. 4, pp. 22-28

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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. 
@article{SJIM_2017_20_4_a2,
     author = {B. K. Buzdov},
     title = {A numerical study of a~two-dimensional mathematical model with a~variable heat transfer coefficient arising in cryosurgery},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {22--28},
     publisher = {mathdoc},
     volume = {20},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2017_20_4_a2/}
}
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B. K. Buzdov. A numerical study of a~two-dimensional mathematical model with a~variable heat transfer coefficient arising in cryosurgery. Sibirskij žurnal industrialʹnoj matematiki, Tome 20 (2017) no. 4, pp. 22-28. http://geodesic.mathdoc.fr/item/SJIM_2017_20_4_a2/