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On Singular Heat Equation

Elina ShishkinaBelgorod State University, Belgorod, 308015, RussiaA. K. YusupovaFergana State University, Fergana, 150100, Uzbekistan
Differential Equationsjournal2023en
ABI

Abstract

In physics, the singular heat equation with the Bessel operator is used to explain the basic process of heat transport in a substance with spherical or cylinder symmetry. This paper examines the solution of the Cauchy problem for the heat equation with the Bessel operator acting in the space variable. We obtain some properties of the solution and consider the normalized modified Bessel function of the first kind.

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