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On the Fractional Neutron Point Kinetics Equations

In: Integral Methods in Science and Engineering

Author

Listed:
  • 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)

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.

Suggested Citation

  • M. Schramm & C. Z. Petersen & M. T. Vilhena & B. E. J. Bodmann & A. C. M. Alvim, 2013. "On the Fractional Neutron Point Kinetics Equations," Springer Books, in: Christian Constanda & Bardo E.J. Bodmann & Haroldo F. de Campos Velho (ed.), Integral Methods in Science and Engineering, edition 127, chapter 0, pages 229-243, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-7828-7_17
    DOI: 10.1007/978-1-4614-7828-7_17
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