Nuclear Science and Techniques

《核技术》(英文版) ISSN 1001-8042 CN 31-1559/TL     2019 Impact factor 1.556

Nuclear Science and Techniques ›› 2019, Vol. 30 ›› Issue (3): 49 doi: 10.1007/s41365-019-0566-6

• NUCLEAR ENERGY SCIENCE AND ENGINEERING • Previous Articles     Next Articles

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

S. Singh1 • S. Saha Ray1   

  1. 1 Department of Mathematics, National Institute of Technology Rourkela, Rourkela 769008, India
  • Received:2018-04-06 Revised:2018-08-07 Accepted:2018-08-10
  • Contact: S. Saha Ray E-mail:santanusaharay@yahoo.com
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S. Singh, S. Saha Ray. Higher order approximate solutions of fractional stochastic point kinetics equations in nuclear reactor dynamics.Nuclear Science and Techniques, 2019, 30(3): 49     doi: 10.1007/s41365-019-0566-6
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Abstract: Stochastic point kinetics equations (SPKEs) are a system of Itoˆ 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.

Key words: Fractional stochastic point reactor kinetics equations, Fractional calculus, Higher-order approximation, Caputo derivative, Neutron population