Modelling of the convective diffusion process with nonlinear sorption in multi-layered aquifer

Numerical solution of an inverse problem for a two-dimensional mathematical model of sorption dynamics

“…Mathematical modeling of pollutant propagation in groundwater also requires two-and three-dimensional mathematical models of sorption and diffusion. In this article we consider a mathematical model of sorption that allows for inner-diffusion kinetics as well as longitudinal and transverse diffusion [1,2]. For this mathematical model we investigate the inverse problem of determining the sorption isotherm from an experimental dynamic output curve and propose stable solution methods for the inverse and the direct problem.…”