## 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