On the recovery of the solution of the initial-boundary value problem for the singular heat conduction equation

M. V. Polovinkina

Voronezh State University of Engineering Technologies, Voronezh, Russia

Abstract: We present the results concerning the research of the problem of the best recovery of the solution of the initial-boundary value problem for the heat equation with the Bessel operator in the spatial variable from two approximately known temperature profiles.

Keywords: Bessel operator, optimal recovery, extremal problem, Fourier–Bessel transform, heat equation.

UDC: 517.444, 517.957.7, 517.951.9, 51-7

DOI: 10.22363/2413-3639-2024-70-4-669-678