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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
Publisher: Khyber Medical College, Peshawar
Country: Pakistan
Year: 2020
Volume: 15
Issue: 23
Language: English
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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