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Abstract The accuracy of the non-steady state diffusion differen tial equation in predicting the asymptotic reactor period and the excess :Multiplication factor has been assessed using an exact transport approach. The time dependent Boltzmann inteMro-diffnrential equation was converted to pseudo steady state form by assuming that the neutron flux is seperable in time and space, and its time variation corresponds to the asymptotic solution of the point model kinetic equation. ’LT1 exact analytical solution for the pseudo steady state integ ral transport equation was performed using the replication prop,~rty of its integral kernel. Extensive numerical calcu lati--ns were performed for a spherical reactor to evaluate the excess multiplication factor, period-, end the associated ilex distribution using both the exact transport and approxi mate diffusion methods. The diffusion theory approximation was rroved to be more adequate for subcriticalq and critical than supercritical systems. |