In contrast with the Generalized Fick (GF) equation and estimated Fick diffusion coefficient hitherto employed in mathematical modeling of coating drying, in this study a set of basic equations was derived based on the Generalized Maxwell-Stefan (GMS) equation and use of measured mutual diffusion coefficient, and the drying processes of binary and ternary components system were considered. Restrictions of wet coating on base film without penetration were considered through the derivation as follows: volumetric flux of mass transfer is always zero on the bottom of the coating, and the coating shrinks during drying.