caa a22 4500 475850084 CHVBK 20180406123925.0 cr unu---uuuuu 170329e20001101xx s 000 0 eng 10.1023/A:1009411413447 doi (NATIONALLICENCE)springer-10.1023/A:1009411413447 Kirsanov Yu Kazan State Power‐Engineering Institute, Russia aut Improvement of the Convergence of Fourier-Hankel Series in Solving Two‐Dimensional Heat‐Conduction Problems [Elektronische Daten] [Yu. Kirsanov] 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. Plenum Publishing Corporation, 2000 Journal of Engineering Physics and Thermophysics Kluwer Academic Publishers-Plenum Publishers 73/6(2000-11-01), 1310-1316 1062-0125 73:6<1310 2000 73 10891 https://doi.org/10.1023/A:1009411413447 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1009411413447 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kirsanov Yu Kazan State Power‐Engineering Institute, Russia aut NATIONALLICENCE 773 0- Journal of Engineering Physics and Thermophysics Kluwer Academic Publishers-Plenum Publishers 73/6(2000-11-01), 1310-1316 1062-0125 73:6<1310 2000 73 10891 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer