Abstract
This article is devoted to the study of the effect of source on nonhomogeneous and nonlinear thermal conductivity processes in multidimensional areas. In order to solve the nonlinear thermal conductivity equation in the process of work, a self-similar solution was built in accordance with the characteristics of the ambient density and heat source, reaction-diffusion processes were observed, and theorems were proved. The following results were obtained from this work: front-end evaluation for the double nonlinearity heat dissipation equation, localization process was observed, finite velocity was calculated as approximate, new effects were observed, the algorithm was built according to the obtained self-similar solution, program code was created in the programming language and the process was modeled. All results were compared
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