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A General Telegraph-type Model for Heat Conduction with Self-similar Behaviour of Solutions
I.F. Barna

In our former studies we introduced a modified Fourier-Cattaneo law and derived a non-autonomous telegraph-type heat conduction equation which has desirable self-similar solution. Now we present a detailed in-depth analysis of this model and discuss additional analytic solutions for different parameters. The solutions have a very rich and interesting mathematical structure due to various special functions.

Keywords: Heat transfer, heat conduction, telegraph-type, self-similar solution

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