Wall, David J. N.Olsson, Peter2015-08-182015-08-181996http://hdl.handle.net/10092/10784This 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.enCopyright David J. N. WallFields of Research::51 - Physical sciences::5103 - Classical physics::510304 - Thermodynamics and statistical physics