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Source identification for the heat equation

✍ Scribed by G.A. Kriegsmann; W.E. Olmstead

Publisher: Elsevier Science
Year: 1988
Tongue: English
Weight: 302 KB
Volume: 1
Category: Article
ISSN: 0893-9659
DOI: 10.1016/0893-9659(88)90084-5

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✦ Synopsis

The problem of determining an unknown heat source in a homogeneous, semiinfinite slab from measured temperature and flux data is examined. When the source is separable into a product of temporal and spatial components, a functional relationship is derived that relates the Laplace transforms of these components.

Examples considered include a point source with oscillating intensity and a spatial layer undergoing exponential decay. A source of non-separable type in the form of a moving front is also treated.

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