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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
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.
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
Linking options:
https://www.mathnet.ru/eng/tmf6070https://doi.org/10.4213/tmf6070 https://www.mathnet.ru/eng/tmf/v152/i1/p58
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Abstract page: | 604 | Full-text PDF : | 473 | References: | 54 | First page: | 6 |
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