<p>The abnormal grain growth modeling was studied using cellular automata in pure Mg and Mg–Ce alloy during static recrystallization. In the current model, the self-mobility of all grain boundaries was assumed to be constant. However, the mobility of different grain boundaries depends on the dislocation density inside grains and the concentration of solutes present at the grain boundaries. The microstructural observation in pure Mg showed the presence of abnormal grains during static recrystallization (SRX) modeling. The origin of the abnormal grain growth during SRX was attributed mainly to the difference in the dislocation density between different grains. The abnormal grain growth was also observed in the Mg–Ce alloy containing equilibrium (sample_eq-S), below equilibrium (sample_beq-S), and above equilibrium concentration of solute atoms (sample_aeq-S) at the grain boundaries. However, the total abnormal grain size area of Mg–Ce alloy is lower than that of pure Mg, suggesting that the presence of solutes at the boundaries reduces the growth of abnormal grains in the Mg–Ce alloy. The change in grain size distribution was observed with respect to temperature in pure Mg and Mg–Ce alloy but the change was significant in pure Mg and Mg–Ce sample_beq-S. There was hardly any change in texture components during SRX, but the strength of the texture components changed. The texture strength was observed to increase with an increase in temperature in pure Mg, and Mg–Ce sample_eq-S, but a decrease in texture strength was observed for Mg–Ce sample_beq-S. There is hardly any change in the texture strength for the Mg–Ce sample_aeq-S. The drag pressure (which includes the solute drag and dislocation density into consideration in the present model) was plotted for all samples. It was observed that the drag pressure initially increases and reaches a peak value, then decreases. The decrease in the drag pressure is maximum at high temperature for the boundaries containing equilibrium and above the equilibrium concentration of solutes. However, the drag pressure decrease is minimal at high temperature for the boundaries containing below the equilibrium concentration of solutes.</p>