Source identification for the heat equation

G. A. Kriegsmann*, W. E. Olmstead

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

The problem of determining an unknown heat source in a homogeneous, semi-infinite 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 alsotreated.

Original languageEnglish (US)
Pages (from-to)241-245
Number of pages5
JournalApplied Mathematics Letters
Volume1
Issue number3
DOIs
StatePublished - 1988

ASJC Scopus subject areas

  • Applied Mathematics

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