Abstract

Determination of the temperature fields in the plates, taking into account the non-uniform distribution of the initial temperature, thermal radiation, temperature dependence of thermophysical characteristics, densities of surface and volume heat sources is reduced to recurrent systems of nonlinear algebraic equations. The Kirchhoff transform, Green's functions of corresponding linear heat conduction problems and linear splines were used. An example of numerical studies is provided. Cite as: B. V. Protsyuk, “Non-stationary heat conduction problems for thermosensitive plates,” Prykl. Probl. Mekh. Mat. , Issue 17, 121–133 (2019) (in Ukrainian), https://doi.org/10.15407/apmm2019.17.121-133

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