INVERSE PROBLEM SOLUTION FOR THE HEAT EQUATION

This article examines the inverse problem for the heat conduction equation. The primary objective of the research is to develop a method for reconstructing an unknown boundary function based on additional temperature data from an internal point of the object. The Fourier method of separation of variables was applied to solve the problem, which subsequently reduced it to a Volterra integral equation of the second kind. The proposed solution algorithm was numerically implemented in the Python programming language using the trapezoidal rule, and the obtained results were analyzed.