Jabbarkhanov Kh.2025-06-242025-06-242019Jabbarkhanov Kh / Laguerre polynomials in axisymmetric heat problems with a free boundary / 6M060100 - Department of Mathematics and Natural sciences / 2019https://repository.sdu.edu.kz/handle/123456789/1799The aim of the thesis is to consider solving heat equation with free boundaries using by heat polynomials method, in particular, using by Laguerre polynomials. There are two problems were considered. It is spherical inverse and direct problems the mcthod of thermal polynomials is appropriate. As exactly as the approximate solutions. The inverse two-phase spherical Stefan problem for unknown boundary heat. flux is solved by the method of the heat polynomials. Side by side with exact solution two methods for the approximate solution, collocation and variational methods, convenient for engineering applications are presented and compared.enaxisymmetric heatpolynomialsGencralized Laguerre equationThesis