| Abstract: | A new method is proposed for solving one-dimensional nonlinear heat-conduction problems in a medium having any number of phase transitions (nonlinear Stefan problems). The method consists of a direct calculation of the isotherms and reduces to the Cauchy problem for a system of ordinary differential equations.The author thanks V. M. Kartvelishvili, a student at the Moscow Physicotechnical Institute, for writing the program and carrying out the calculations on a BÉSM-3M computer. The author thanks L. A. Chudov for useful comments. |
