IMPROVEMENT OF THE CONVERGENCE OF FOURIER-HANKEL SERIES 
IN SOLVING TWO-DIMENSIONAL HEAT-CONDUCTION PROBLEMS
Yu. A. Kirsanov

UDC 536.24:621.184.53+001.891.57

In the present work, an analytical solution of a boundary-value 
problem of nonstationary heat conduction in a two-dimensional solid 
(a prism, a cylinder) with improved convergence of Fourier-Hankel 
series is given. Using as an example a problem with cyclic inhomogeneous 
boundary conditions of the third kind, the author shows the uniformity 
of the convergence of the obtained solution on the boundaries of the 
solid and the matching of temperatures in passage from one period 
of the cycle to another.

JEPTER7492020003
JEPTER749203