Author(s)

S. Futakiewicz & L. Hozejowski

Abstract

Heat polynomials method in the //-dimensional direct and inverse heat conduction problems S. Futakiewicz & L. Hozejowski Kielce University of Technology, AL 1000-lecia PP 7, e-mail: grysa@eden.tu.kielce.pl Abstract Heat polynomials are used to construct approximate solutions to heat conduction problems. The number of internal responses is not limited. The applied algorithm is generalized on two- and three- dimensional problems. Numerical results for one- dimensional problems are presented. 1 Heat polynomials determining The heat polynomials have been introduced by Rosenbloom and Widder^ as the coefficients v^(x,t)of expantion of the function e~* ~ into the power series with respect to the z variable: n=0 They can be expressed as follows:

Keywords