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Title: Implicit Euler-Maruyama method with Newtonian temperature feedback and ramp reactivity
Authors: Daniel Suescún-Díaz, Gilberto Espinosa-Paredes, Jaime H. Lozano-Parada
Journal: ARPN Journal of Engineering and Applied Sciences
Publisher: Khyber Medical College, Peshawar
Country: Pakistan
Year: 2020
Volume: 15
Issue: 20
Language: English
The stochastic equations of point kinetics with temperature feedback effects and ramp reactivity were solved. The Euler-Maruyama implicit method is used to calculate the expected values and standard deviations of the neutron density and the concentration of delayed neutron precursors considering 500 trials that simulate Brownian motion. The numerical experiments indicate that the proposed method is an alternative method to find the expected values with a good approximation in which standard deviations are very low. With these characteristics, the method can be used with a good degree of reliability.
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