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Abstract

This article presents a two-stage second-order stochastic Ruge-Kutta method (RK2-2st) to solve the stochastic equations of point kinetics for a nuclear reactor with Newtonian temperature feedback effects considering step external reactivities. The average values and standard deviations of the neutron density and the population of delayed neutron precursors with a fixed step size are calculated, the Doppler effects considered correspond to the typical adiabatic approximation. The proposed method has a great advantage with respect to other derivative numerical stochastic methods, because it requires fewer derivatives and has low computational cost. The numerical experiments developed indicate that the proposed method has good precision and is very efficient for the study of stochastic point kinetics with Newtonian temperature feedback. The numerical results obtained are compared with deterministic and stochastic methods reported in the literature.