Frenkel's liquid-phase sintering mechanism has essential influence on the
sintering of materials, however, by which only the initial 10% during
isothermal sintering can be well explained. To overcome this shortage,
Nikolic et al. introduced a mathematical model of shrinkage vs. sintering
time concerning the activated volume evolution. This article compares the
model established by Nikolic et al. with that of the Frenkel's liquid-phase
sintering mechanism. The model is verified reliable via training the height
and diameter data of cordierite glass by Giess et al. and the first-order
partial differential equation. It is verified that the higher the
temperature, the more quickly the value of the first-order partial
differential equation with time and the relative initial effective activated
volume to that in the final equibrium state increases to zero, and the more
reliable the model is.