ABOUT AN APPROXIMATE ANALYTICAL SOLUTION BOUNDARY-VALUE PROBLEMS FOR SINGULAR-PERTURBED EQUATION OF STATIONARY HEAT CONDUCTIVITY
A method is given for the approximate analytical solution of boundary value problems singularly perturbed by the stationary heat conduction equation, which is close to the solution of the problem for the unperturbed equation. The main tasks that determine the structure of the article are investigated: the development of mathematical and computer models of stationary thermal conductivity in condensed media and model diffusion-reactive energy transfer depending on thermal conductivity. Interpretations of the results obtained, numerical experiments on the dependence of the heat flux on the temperature value are presented. When carrying out numerical experiments, we used the existing literature passport data of one of the typical tasks. Based on the results obtained, it can be concluded that with an increase in temperature, the heat flux remains unchanged, and the thermal conductivity is illustrated by the presence of two boundary layers and qualitatively coinciding with the literature data.