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

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.