Author(s)

Sylwia Futakiewicz & Leszek Hozejowski

Abstract

Heat polynomials in a cylindrical and polar coordinate system are presented. Then some direct and inverse problems of heat conduction in a cylinder are considered. The heat polynomials approach allows us to avoid well known troubles with the Bessel function that appear in such problems. Numerical results are presented and discussed. 1 Heat polynomials determining The heat polynomials for one-dimensional transient problems defined in the Cartesian system of coordinates have been introduced by Rosenbloom and Widder' as the coefficients w,,(x,f) of expansion of the function #"*+" in the power series with respect to the u variable:

Keywords