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A Genuine Analytical Solution for the SN Multi-group Neutron Equation in Planar Geometry

In: Integral Methods in Science and Engineering

Author

Listed:
  • F. K. Tomaschewski

    (Federal University of Rio Grande do Sul)

  • C. F. Segatto

    (Federal University of Rio Grande do Sul)

  • M. T. Vilhena

    (Federal University of Rio Grande do Sul)

Abstract

The analytical solution program for the time-dependent neutron transport equation has undergone a significant evolution since the work of Case [CaZw67], where the one-dimensional stationary problem in a slab was solved analytically. There exists a relevant literature concerning the issue of solving the time-dependent neutron equation in a planar geometry for an unbounded domain. We mention the works of Ganapol and Filippone [GaFi82], Ganapol and Pomraning [GaPo83], Ganapol [Ga86], Ganapol and Matsumoto GaMa86], and Abdul [Ab06]. On the other hand, regarding the literature for bounded domains, we cite the works of Windhofer and Pucker [WiPu85], Warsa and Prinja [WaPr98], Oliveira et al. [OlCaVi02], [OlEtAl02], El-Wakil et al. [ElDeSa05], [ElDeSa06], Türeci et al. [TuGuTe07], Türeci and Türeci [TuTu07], Hadad et al. [HaPiAy08], Coppa et al. [CoEtAl08], [CoDuRa10], and Cargo and Samba [Ca10].

Suggested Citation

  • F. K. Tomaschewski & C. F. Segatto & M. T. Vilhena, 2013. "A Genuine Analytical Solution for the SN Multi-group Neutron Equation in Planar Geometry," 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 329-339, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-7828-7_23
    DOI: 10.1007/978-1-4614-7828-7_23
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