In the numerical modelling of the vacuum contact drying of disordered porous media, the explicit MacCormack finite differences method was employed for solving both hyperbolic and parabolic moving boundary problems. A comparison of the parabolic and hyperbolic solutions, analysis of relaxation time of heat flux tau (q) influence and experimental verification of the simulated results were presented. Experimental verification was performed for vacuum contact drying of the following biomaterials: fodder yeast and lactose.