A numerical analysis of the mathematical model for fluidized bed coal combustion has been performed. Based on the physical nature of the specific surface variation due to the decreasing of coal particle diameter according to the combustion process, the modified model which has been added the specific surface variation to the S.ENDRENYI and B.PALANCZ's mathematical model was established in this study. From the numerical analysis of these two models, it was found that the perfect combustion time is increasing largely at least 5 seconds in the modified model in comparison with that of the S.ENDRENYI and B.PALANCZ's model, and the bed temperature and the coal particle surface temperature during the main combustion period represent constant with time in the S.ENDRENYI and B.PALANCZ's model, on the other hand, these properties are decreasing linearly with time in the modified model.