Space-fractional neutron diffusion equation with Riesz fractional derivative

Authors

  • Jeffrey Delantar Tare Philippine Nuclear Research Institute and Science Education Institute, Department of Science and Techonology
  • Alvie A. Astronomo Philippine Nuclear Research Institute, Department of Science and Technology

Abstract

Space-fractional neutron diffusion equation with Riesz fractional derivative of order 1 < α ≤ 2 is applied to well-known problems in neutron physics such as the one-group and two-group approximations of neutron diffusion from an infinite planar source. Using the Fourier-transform method, the corresponding neutron fluxes are derived and expressed in terms of Fox's H-function. Graphical representations of the neutron flux show that its maximum shifts upward in the fractional regime and deviates further from the non-fractional one (i.e., when α=2) as α decreases.

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Published

2020-10-19

How to Cite

[1]
JD Tare and AA Astronomo, Space-fractional neutron diffusion equation with Riesz fractional derivative, Proceedings of the Samahang Pisika ng Pilipinas 38, SPP-2020-3F-06 (2020). URL: https://proceedings.spp-online.org/article/view/SPP-2020-3F-06.