THE EFFECT OF THE HEAT SOURCE ON THE AMBIENT DENSITY IN THE PROCESSES OF NON-LINEAR HEAT PROPAGATION IN MULTIDIMENSIONAL FIELDS

In nonlinear heat propagation processes in the article in multidimensional fields devoted to the study of the effect of the heat source on the density of the environment. In the course of work, a self-similar solution was built to solve the linear heat diffusion equation according to the characteristics of the environment density and heat source, reaction-diffusion processes were observed, and theorems were proved. The following results were obtained from this work: a preliminary estimate for the double linear heat diffusion equation, the localization process was observed, the finite velocity was approximated, new effects were observed, and an algorithm based on the obtained self-similarity was constructed. solution, the program code was created in the programming language and the process was modeled. All results were compared.