@ARTICLE{Joachimiak_Magda_Stable_2018, author={Joachimiak, Magda and Ciałkowski, Michał}, volume={vol. 39}, number={No 1}, journal={Archives of Thermodynamics}, howpublished={online}, year={2018}, publisher={The Committee of Thermodynamics and Combustion of the Polish Academy of Sciences and The Institute of Fluid-Flow Machinery Polish Academy of Sciences}, abstract={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.}, type={Artykuły / Articles}, title={Stable solution to nonstationary inverse heat conduction equation}, URL={http://www.journals.pan.pl/Content/104045/PDF/02_paper.pdf}, doi={10.1515/aoter-2018-0002}, keywords={inverse problem, Nonstationary heat conduction equation, Solution sensitivity, Integral parameter}, }