The paper presents investigations related to solving of a direct and inverse problem of a non-stationary heat conduction equation for a cylinder. The solution of the inverse problem in the form of temperature distributions has been obtained through minimization of a functional being the measure of the difference between the values of measured and calculated temperatures in M points of the heated cylinder. The solution of the conduction equation was presented in the convolutional form and then numerically integrated approximating one of the integrand with a step function described with parameter Θ ∈ (0, 1]. The influence of the integration parameter Θ on the obtained solution of the inverse problem (including a number of temperature measurement points inside the heated body) has been analyzed. The influence of the parameter Θ on the sensitivity of the obtained temperature distributions has been investigated.

JO - Archives of Thermodynamics L1 - http://sd.czasopisma.pan.pl/Content/104045/PDF/02_paper.pdf L2 - http://sd.czasopisma.pan.pl/Content/104045 IS - No 1 KW - Inverse problem KW - Nonstationary heat conduction equation KW - Solution sensitivity KW - Integral parameter ER - A1 - Joachimiak, Magda A1 - Ciałkowski, Michał PB - The Committee on Thermodynamics and Combustion of the Polish Academy of Sciences VL - vol. 39 JF - Archives of Thermodynamics T1 - Stable solution to nonstationary inverse heat conduction equation UR - http://sd.czasopisma.pan.pl/dlibra/docmetadata?id=104045 DOI - 10.1515/aoter-2018-0002