Download PDFOpen PDF in browserSolution Of Inverse Problem Cauchy Type (Design) For Plane LayerEasyChair Preprint 4291, version 317 pages•Date: November 25, 2020AbstractIn engineering practice not always is possible the measure-ments of temperature on both side of wall (for example turbine casing orcombustion chamber). On the other hand it is possible measurement both temperature and heat flux on outside wall. For transient heat conductionequation the measurements temperature and heat flux supplemented byinitial condition states Cauchy problem which is ill conditioned. In paper the stable solution is obtained for Cauchy problem by using Laplacetransformation and minimisation of continuity in process of integration of convolution. Test examples confirm proposed algorithm of solution of inverse problem. Keyphrases: Cauchy problem, Inverse heat conduction, Laplace transformation, regularization
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