In numerical computation of coal combustion and gasification severe pr
oblems can arise owing to large temperature gradients occurring in som
e regions. This is because the reaction rate is strongly dependent on
temperature due to the Arrhenius law. Thus, a conventional step-wise d
istribution of temperature will lead to great errors in the computatio
nal results of the reaction rates. A numerical and analytical modifica
tion technique to compute the chemical reaction rates in the computati
on cell is proposed here. The reaction rates computed from the analyti
cally derived modification formula coincides excellently with the resu
lts from precise numerical integration. A criterion is also suggested
to judge where this modification is necessary, and effects of cell tem
perature, activation energy, reaction order and temperature gradient a
re treated. Principally, the method proposed here applies equally well
to any chemical reaction systems.