On the Properties of a Radially Symmetric Self-Similar Solution of a Nonlinear Heat Conduction Equation with a Source

Abstract

Abstract In this work, new properties of a radially symmetric self-similar solution of the nonlinear heat equation with source were obtained. A self-similar solution was derived using the method of standard equations. These properties were proved by regulation the solution of the self-similar equation relative to the parameter of the nonlinear source by adding an additional parameter. The obtained properties were verified by numerical experiments.