DefinePK

Abstract

In this article, we present the second order-third stage Runge-Kutta method (RK2-3st) as an alternative way to give solution to the stochastic point kinetics equations with Newtonian temperature feedback effects considering step change reactivity. We consider the Doppler effect to obtain an approximation to an adiabatic nuclear reactor. We realize diverse numerical experiments, which are obtained using study cases reported in the literature. We consider several initial values for the step reactivity to study the efficiency and precision of the method. We obtain several values for reactivity, mean values and standard deviation for the neutron population density and the concentration of delayed neutron precursors. The numerical results obtained with the RK2-3st method indicate that it is efficient, of low computational cost and easy to implement.