On the Fractional Neutron Point Kinetics Equations

M. Schramm (), C. Z. Petersen (), M. T. Vilhena (), B. E. J. Bodmann () and A. C. M. Alvim ()
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M. Schramm: Federal University of Rio Grande do Sul
C. Z. Petersen: Federal University of Pelotas
M. T. Vilhena: Federal University of Rio Grande do Sul
B. E. J. Bodmann: Federal University of Rio Grande do Sul
A. C. M. Alvim: Federal University of Rio de Janeiro

Chapter Chapter 17 in Integral Methods in Science and Engineering, 2013, pp 229-243 from Springer

Abstract: Abstract This work proposes a fractional derivative model for some anomalous neutron diffusion phenomena in nuclear reactors. The model is solved in terms of the neutron flux density and current. The fractional diffusion model displayed may be applied to large variations neutron cross-section that normally prevent the use of the classic model of the neutron diffusion equation. In this chapter we present a new method and approach for solving the fractional neutron kinetics equations and several precursor groups using the decomposition method.

Keywords: Neutron transport; Neutron diffusion; Neutron kinetics; Fractional derivative; Decomposition method (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-7828-7_17

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DOI: 10.1007/978-1-4614-7828-7_17

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