On the Properties of a Radially Symmetric Self-Similar Solution of a Nonlinear Heat Conduction Equation with a Source
Мерсаид АриповNational university of Uzbekistan after Mirzo Ulugbek, Tashkent, UzbekistanA. MukimovNational university of Uzbekistan after Mirzo Ulugbek, Tashkent, UzbekistanOybek DjabbarovKarshi State University, 180103, Uzbekistan, Karshi, Kuchabog St., 17
ABI
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.