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On the numerical solution of stochastic point kinetics equations with feedback effects using the Implicit Milstein method with step external reactivity


Article Information

Title: On the numerical solution of stochastic point kinetics equations with feedback effects using the Implicit Milstein method with step external reactivity

Authors: Daniel Suescún-Díaz, Daniel E. Cedeño-Girón, G. Espinosa-Paredes

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: 2020

Volume: 15

Issue: 23

Language: English

Categories

Abstract

In this work, the iterative schemes Taylor order-two (TO2) and Implicit Milstein with Diagonal Brownian (IMDB) are employed to provide a numerical solution to both the deterministic and stochastic point kinetics equations with feedback effects. The different numerical experiments are performed with 500 Brownian motions, their results are compared with the values reported in the literature, these comparisons showed how the proposed schemes produce good approximations in the calculation of the expected values for neutron density and reactivity, determining the time to the peak where the maximum in neutron density occurs with different step external reactivities for a reactor with feedback effects.


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