Numerical determination of the sorption isotherm for nonisothermal sorption (Q1037036)

In the present article two mathematical models of sorption dynamics are considered that allow for external kinetics or alternatively for internal diffusion kinetics with heat balance. For these nonisothermal models two inverse problems for the determination of the sorption isotherm are investigated and numerical solutions are proposed. Algorithm for approximate solution of these inverse problems based on experimental output concentration and heat curves is constructed on the basis on descriptive regularization with the gradient method. The efficiency of the numerical methods is studied in a computer experiment.