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Decomposition methods for non-linear, non-characteristic Cauchy heat problems

✍ Scribed by D. Lesnic


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
333 KB
Volume
10
Category
Article
ISSN
1007-5704

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✦ Synopsis


Solutions for one-dimensional heat equations with a non-linear heat source, in the case where both the temperature and the heat flux are given at a single boundary, are obtained using variants of the Adomian decomposition method. The given quantities may be any infinitely differentiable functions satisfying certain conditions. The solutions are applicable for one-dimensional (radial) heat flow in slabs, cylinders and spheres.


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