Approximate solutions to one-dimensional nonlinear heat conduction problems with a given flux
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 1, pp. 110-120
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One-dimensional (planar, cylindrically symmetric, and spherically symmetric) nonlinear heat conduction problems with the heat flux at the origin specified in the form of a power time dependence are considered. The initial temperature of the medium is assumed to be zero. Approximate solutions to the problems are obtained. The convergence of the resulting solutions is discussed.
@article{ZVMMF_2007_47_1_a10,
author = {N. A. Kudryashov and M. A. Chmykhov},
title = {Approximate solutions to one-dimensional nonlinear heat conduction problems with a~given flux},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {110--120},
publisher = {mathdoc},
volume = {47},
number = {1},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_1_a10/}
}
TY - JOUR AU - N. A. Kudryashov AU - M. A. Chmykhov TI - Approximate solutions to one-dimensional nonlinear heat conduction problems with a given flux JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2007 SP - 110 EP - 120 VL - 47 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_1_a10/ LA - ru ID - ZVMMF_2007_47_1_a10 ER -
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N. A. Kudryashov; M. A. Chmykhov. Approximate solutions to one-dimensional nonlinear heat conduction problems with a given flux. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 1, pp. 110-120. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_1_a10/