ON THE APPROXIMATE SOLUTION OF THE THIRD
BOUNDARY-VALUE PROBLEM OF HEAT-CONDUCTION
THEORY FOR A CIRCLE

I. N. Meleshko and V. A. Sednin

UDC 518:517.5:536.2

An efficient analytical approximate representation of 
the solution of the third boundary-value problem of heat-conduction 
theory for a circle is obtained. A uniform evaluation of the error 
of the approximate formula ensures the convergence of the numerical 
algorithm.

Keywords: heat conduction, heat exchange, boundary-value 
problem, integral equation, approximate formula. 

Belarusian National Technical University, 65 Nezavisimost' Ave., 
Minsk, 220013, Belarus; email: etr@bntu.by. Translated from 
Inzhenerno-Fizicheskii Zhurnal, Vol. 82, No. 2, pp. 403-408, 
March-April, 2009. Original article submitted July 16, 2008.