ABSTRACT
Consider a practical situation in which a fertilizer from a field is carried into a stream by rain in the form of run-off which in turn affects aquatic life. Then, in this application of water pollution, the inhomogeneous source term in the governing model is unknown and needs to be determined. As such, inverse source problems for the heat (diffusion) equation have attracted considerable interest in many studies in recent years. Many of these studies have sought a coefficient source function depending on either space- or time-dependent variables. In this chapter, inverse heat source functions depending on both space and time, but which are either additively or multiplicatively separable, are considered.
