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Higher-order approximate solutions of fractional stochastic point kinetics equations in nuclear reactor dynamics

Higher-order approximate solutions of fractional stochastic point kinetics equations in nuclear reactor dynamics
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摘要 Stochastic point kinetics equations(SPKEs) are a system of Ito? stochastic differential equations whose solution has been obtained by higher-order approximation.In this study, a fractional model of SPKEs has been analyzed. The efficiency of the proposed higher-order approximation scheme has been discussed in the results section. The solutions of SPKEs in the presence of Newtonian temperature feedback have also been provided to further discuss the physical behavior of the fractional model. Stochastic point kinetics equations(SPKEs) are a system of Ito? stochastic differential equations whose solution has been obtained by higher-order approximation.In this study, a fractional model of SPKEs has been analyzed. The efficiency of the proposed higher-order approximation scheme has been discussed in the results section. The solutions of SPKEs in the presence of Newtonian temperature feedback have also been provided to further discuss the physical behavior of the fractional model.
出处 《Nuclear Science and Techniques》 SCIE CAS CSCD 2019年第3期114-126,共13页 核技术(英文)
关键词 FRACTIONAL STOCHASTIC POINT reactor kinetics equations FRACTIONAL CALCULUS HIGHER-ORDER approximation Caputo derivative NEUTRON population Fractional stochastic point reactor kinetics equations Fractional calculus Higher-order approximation Caputo derivative Neutron population
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