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The systematic method to explore how the dynamics of strong liquids (S) isdifferent from that of fragile liquids (F) near the glass transition isproposed from a unified point of view based on the mean-field theory discussedrecently by Tokuyama. The extensive molecular-dynamics simulations areperformed on different glass-forming materials. The simulation results for themean-$n$th displacement $M_n(t)$ are then analyzed from the unified point ofview, where $n$ is an even number. Thus, it is first shown that in each type ofliquids there exists a master curve $H_n^{(i)}$ as$M_n(t)=R^nH_n^{(i)}(v_{th}t/R;D/Rv_{th})$ onto which any simulation resultscollapse at the same value of $D/Rv_{th}$, where $R$ is a characteristic lengthsuch as an interatomic distance, $D$ a long-time self-diffusion coefficient,$v_{th}$ a thermal velocity, and $i=$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-calledcage region even at the same value of $D/Rv_{th}$. Thus, it is emphasized thatthe dynamics of strong liquids is quite different from that of fragile liquids.A new type of strong liquids recently proposed is also tested systematicallyfrom this unified point of view. The dynamics of a new type is then shown to bedifferent from that of well-known network glass formers in the cage region,although both liquids are classified as a strong liquid. Thus, it is suggestedthat a smaller grouping is further needed in strong liquids, depending onwhether they have a network or not.

A novel difference between strong liquids and fragile liquids in their dynamics near the glass transition