The effect of pulse reactivity for stochastic neutron point kinetic equation in nuclear reactor dynamics

In this present analysis, the numerical simulation methods are applied to calculate the solution for Stochastic Neutron Point Kinetic Equations (SNPKE) with pulse reactivity in dynamical system of a nuclear reactor. The resulting systems of differential equations are solved for each time step–size. Using experimental data, the methods are investigated with pulse reactivity. The computational results designate that these numerical approximation methods are straightforward, effective and easy for solving stochastic point kinetic equations.

Keywords: stochastic point kinetic equations, Euler–Maruyama method, Taylor 15 strong–order approximation, neutron density, delayed neutron precursor concentrations, pulse reactivity, nuclear reactors, reactor dynamics, nuclear energy, nuclear power, numerical simulation, differential equations