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Numerical study for the stochastic equation of point kinetics with sinusoidal reactivity using Milstein schemes

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Title: Numerical study for the stochastic equation of point kinetics with sinusoidal reactivity using Milstein schemes

Authors: Daniel Suescún-Díaz, Daniel E. Cedeño-Girón, Freddy Humberto Escobar

Journal: ARPN Journal of Engineering and Applied Sciences

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
X 2020-07-01 2021-06-30

Publisher: Khyber Medical College, Peshawar

Country: Pakistan

Year: 2021

Volume: 16

Issue: 17

Language: English

Categories
Milstein Schemes (1) Numerical Methods (43) Kinetics (41) Reactor Physics (18) Nuclear Engineering (129)

Abstract

In this paper, the equation of stochastic point kinetics with sinusoidal reactivity is solved numerically by means of the explicit and implicit Milstein schemes. Three cases are presented in which the number of Brownian movements and time steps to calculate the density of the neutron population are varied. The results of the different numerical experiments obtained with the implemented schemes have the same form of those published in the literature. In addition, when compared to the deterministic model of point kinetics, a good approximation for neutron density is observed.

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