Invariant imbedding and hyperbolic heat waves

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Publisher's DOI/URI
Thesis discipline
Degree name
Research Report
Publisher
University of Canterbury. Dept. of Mathematics
Journal Title
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Date
1996
Authors
Wall, David J. N.
Olsson, Peter
Abstract

This paper builds up a general wave splitting and imbedding theory for solution of both direct and inverse problems associated with thermal processes. It is done by using a full representation of the thermal phenomenon by virtue of Cattaneo's law. This law by ensuring finite thermal propagation speeds, enables an imbedding equation to layer strip the medium; so allowing the solution to the inverse problem of determination of a spatially varying diffusivity. Theoretical results and numerical algorithms are developed and numerical experiments are used to illustrate the effectiveness of the latter.

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Ngā upoko tukutuku/Māori subject headings
ANZSRC fields of research
Fields of Research::51 - Physical sciences::5103 - Classical physics::510304 - Thermodynamics and statistical physics
Rights
Copyright David J. N. Wall