DefinePK

Abstract

This paper describes and implements the numerical Runge-Kutta method for solving stochastic point kinetic equations. The mean and variance of neutron and delayed neutron precursor populations are calculated for different time steps for constant reactivities. The advantage of the proposed method is that it requires the development of few derivatives and has low computational cost, as it does not require the square root calculation of a matrix. The numerical results obtained indicate that the method is efficient and precise for the study of stochastic point kinetics with constant reactivity.