@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://ochroma.man.poznan.pl/Content/104045/PDF/02_paper.pdf},
 doi={10.1515/aoter-2018-0002},
 keywords={inverse problem, Nonstationary heat conduction equation, Solution sensitivity, Integral parameter},
}