Heat conduction

Barna, I F; Kersner, R [Kersner, Róbert (Nemlineáris analízis), author] Department of Engineering Informatics (UP / PMMIK / MIVI)

English Scientific Article (Journal Article)
  • SJR Scopus - Physics and Astronomy (miscellaneous): Q3
    In our former study (J. Phys. A: Math. Theor. 43, (2010) 325210) we introduced a modified Fourier-Cattaneo law and derived a nonautonomous 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.
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    2021-10-17 17:46