DefinePK

Abstract

This paper presents the explicit third order, third stage stochastic Runge-Kutta method for providing a solution to stochastic point kinetic equations for various forms of reactivity, considering one and six groups of delayed neutron precursors. Point kinetic equations are a set of non-linear stochastic differential equations, which are resolved by the method proposed in each instant of time. Calculation is made of the mean values and the standard deviation of the neutron density and the concentration of delayed neutron precursors in the proposed numerical experiments. The results obtained are compared with other methods reported in literature, confirming that the method is efficient and accurate for studying the dynamics of a point nuclear reactor.