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.