The systematic method to explore how the dynamics of strong liquids (S) is different from that of fragile liquids (F) near the glass transition is proposed from a unified point of view discussed recently by Tokuyama. The extensive molecular-dynamics simulations are performed on different glass-forming materials. The simulation results for the mean-nth displacement M-n(t) are then analyzed from the unified point of view, where n is an even number. Thus, it is first shown that in each type of liquids there exists a master curve H-n((alpha)) as M-n(t) = (RHn(alpha))-H-n (v(th)t/R; D/Rv(th)) onto which any simulation results collapse at the same value of D/Rv(th), where R is a characteristic length such as an interatomic distance, D a long-time self-diffusion coefficient, v(th) a thermal velocity, and alpha = F and S. The master curves H-n((F)) and H-n((S)) are then shown not to coincide with each other in the so-called cage region even at the same value of D/Rv(th). Thus, it is emphasized that the dynamics of strong liquids is quite different from that of fragile liquids. (C) 2015 Elsevier B.V. All rights reserved.