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.
ASJC Scopus subject areas
- Applied Mathematics