Publication Type : Journal Article
Publisher : Annals of Nuclear Energy
Source : Annals of Nuclear Energy, 110 (2017), pp. 865–873. (2017)
Url : https://inis.iaea.org/search/search.aspx?orig_q=RN:49045471
Campus : Chennai
School : School of Engineering
Department : Mathematics
Year : 2017
Abstract : Comparative study between two numerical approximation methods. •Split-step forward Euler-Maruyama method and derivative-free Milstein method. •Stochastic point reactor kinetics equations have been solved. •Split-step approximations are straightforward and effective methods. -- Abstract: In this article, a comparative study between two numerical approximation methods viz., split-step forward Euler-Maruyama method and derivative-free Milstein method have been established. The stochastic point reactor kinetics equations consist of a system of stiff nonlinear differential equations. This system has been solved for step and ramp external reactivity using split-step forward Euler-Maruyama method and derivative-free Milstein method. The obtained numerical results show that the split-step approximations are straightforward and effective methods in studying the behavior of neutron density of the stochastic point reactor kinetics equations which also have been represented graphically.
Cite this Research Publication : S. Singh, S. Saha Ray, “On the comparison of two split-step methods for the numerical simulation of stochastic point kinetics equations in presence of Newtonian temperature feedback effects”, Annals of Nuclear Energy, 110 (2017), pp. 865–873. (2017)