## Abstract The nonβcharacteristic Cauchy problem for the heat equation __u__~__xx__~(__x__,__t__) = __u__~1~(__x__,__t__), 0 β©½ __x__ β©½ 1, β β < __t__ < β, __u__(0,__t__) = Ο(__t__), __u__~__x__~(0, __t__) = Ο(__t__), β β < __t__ < β is regularizΓ¨d when approximate expressions for Ο and Ο are given
Decomposition methods for non-linear, non-characteristic Cauchy heat problems
β 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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β¦ 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.
π SIMILAR VOLUMES
In this paper the well-known non-linear equationf" + if' = 0 with boundary conditionsflo) = 0, f(0) = 0 andf(o0) = 1 is used as an example to describe the basic ideas of a kind of general boundary element method for non-linear problems whose governing equations and boundary conditions may not contai