Numerical Solution of Stochastic Point-Kinetics Neutron Equation with Fuzzy Parameters

This technical note models the concept of fuzziness along with the stochastic behavior of the point-kinetics neutron equation. The fuzzy stochastic model is investigated numerically by extending the Euler-Maruyama method to fuzzy form. The uncertain neutron density and delayed neutron population are obtained and compared with Monte Carlo and stochastic principal component analysis solutions. Various combinations of fuzzy parameters are considered, and the uncertain neutron density and delayed neutron population are obtained in different cases. Finally, the sensitivity of these fuzzy parameters with stochastic behavior is investigated.