@article{MTMT:1756137, title = {Heat conduction. A telegraph-type model with self-similar behavior of solutions II}, url = {https://m2.mtmt.hu/api/publication/1756137}, author = {Barna, I F and Kersner, Róbert}, journal-iso = {ADV STUDIES}, journal = {ADVANCED STUDIES IN THEORETICAL PHYSICS}, volume = {5}, unique-id = {1756137}, issn = {1313-1311}, abstract = {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.}, keywords = {Telegraph-type equation; Self-similar solution; Heat propagation}, year = {2011}, eissn = {1314-7609}, pages = {193-205} } @article{MTMT:1428953, title = {Heat conduction: a telegraph-type model with self-similar behavior of solutions}, url = {https://m2.mtmt.hu/api/publication/1428953}, author = {Barna, Imre Ferenc and Kersner, Róbert}, doi = {10.1088/1751-8113/43/37/375210}, journal-iso = {J PHYS A-MATH THEOR}, journal = {JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL}, volume = {43}, unique-id = {1428953}, issn = {1751-8113}, year = {2010}, eissn = {1751-8121}, orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910} }