In the present study, the implicit order 1.5 Runge-Kutta scheme is proposed to numerically solve stochastic point kinetic equations by considering different reactivity values. A covariance matrix is obtained by applying the one-velocity diffusion theory for a nuclear reactor. It is assumed that at initial time a neutron pulse is injected into a non-multiplicative assembly. The results obtained by applying this method are accurate, based on the standard deviation and the expected value, when compared to other methods reported in the literature. It is concluded that the proposed method is accurate for calculating neutron density and delayed neutron precursor concentration.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.