Inverse problem for 2d Laplace equation in polar coordinate system

The article presents the results of study on finding the thermophysical characteristics of a heterogeneous material based on the heat conductivity equation in polar coordinates, carried out within the framework of the grant project of the Ministry of Science and Higher Education of the Republic of Kazakhstan AP19677594 «Development of methods for finding all nonlinear moisture-heat-conducting characteristics of nonhomogeneous medium, realization of methods by creating machine learning program». The temperature state of a body of a multilayer system of bodies can be characterized using a temperature field, which is understood as a set of instantaneous temperature values at all points of the studied space. It occurs when two bodies with different temperatures come into contact or within one body with areas with different temperatures.