Nonlinear convection-dispersion models with a localized pollutant source, II-A class of inverse problems

This paper deals with the modelling and solution of a class of nonlinear inverse problems related to a transport diffusion model with a source term. Specifically, the first part of the paper deals with the description of the physical system and of the related mathematical problems. The second part deals with the development of the solution method which decomposes the space domain into a suitable set of subdomains. In each of them, the initial boundary value problem is direct and is solved by generalized collocation method. Combining the solutions in all domains gives the general solution to the inverse problem. Some simulations visualize the application of the method.