Heat conduction: a telegraph-type model with self-similar behavior of solutions II

Details Heat conduction: a telegraph-type model with self-similar behavior of solutions II Heat conduction: a telegraph-type model with self-similar behavior of solutions II

2010-09-30

arxiv.org/abs/1009.6085v1

Adv. Studies Theor. Phys. 5, (2011) 193

Physics

Mathematical Physics

12 pages, 10 figures 3 of them are colour, we plan to submit it to J. Phys. A: Math. Theor

Scientific paper

In our former study (J. Phys. A: Math. Theor. 43, (2010) 325210 or arXiv:1002.0999v1 [math-ph]) 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.

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