An efficient analytical approximate representation of the solution of the third boundary-value problem of heatconduction theory for a circle is obtained. A uniform evaluation of the error of the approximate formula ensures the convergence of the numerical algorithm.
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 82, No. 2, pp. 403–408, March–April, 2009.
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Meleshko, I.N., Sednin, V.A. On the approximate solution of the third boundary-value problem of heat-conduction theory for a circle. J Eng Phys Thermophy 82, 400–406 (2009). https://doi.org/10.1007/s10891-009-0203-z
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DOI: https://doi.org/10.1007/s10891-009-0203-z