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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 152, Number 1, Pages 58–65
DOI: https://doi.org/10.4213/tmf6070 (Mi tmf6070) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Half-line solutions of a nonlinear heat conduction problem

S. De Lilloa, G. Lupob, M. Sommacalc

a Università degli Studi di Perugia
b Dipartimento di Matematica e Informatica, Universita degli Studi di Perugia
c Université Pierre & Marie Curie, Paris VI
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DOI: https://doi.org/10.4213/tmf6070
Abstract: We solve a half-line problem for a nonlinear diffusion equation with a given time-dependent thermal conductivity at the origin. The problem reduces to a linear Volterra integral equation, which is solvable by Picard's process of successive approximations. We analyze some explicit examples numerically.
Keywords: nonlinear, heat conduction, half-line.
English version:
Theoretical and Mathematical Physics, 2007, Volume 152, Issue 1, Pages 926–932
DOI: https://doi.org/10.1007/s11232-007-0078-0
Bibliographic databases:
Language: Russian
Citation: S. De Lillo, G. Lupo, M. Sommacal, “Half-line solutions of a nonlinear heat conduction problem”, TMF, 152:1 (2007), 58–65; Theoret. and Math. Phys., 152:1 (2007), 926–932
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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