The difficulties encountered in numerical solution of the integro-different
ial equations governing the kinetics of nonequilibrium chemical processes a
re analyzed. The principles underlying the "averaging" method developed by
the authors of this publication, which essentially consists in approximatio
n of an integro-differential equation by a set of ordinary differential equ
ations retaining the fundamental "kinetic" properties of the original equat
ion, are set forth. Rules are formulated, according to which a given chemic
al mechanism is first translated into the set of nonequilibrium integro-dif
ferential equations and then into an approximate set of ordinary differenti
al equations.