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A Novel Approach to the Hankel Transform Inversion of the Neutron Diffusion Problem Using the Parseval Identity

In: Integral Methods in Science and Engineering

Author

Listed:
  • J. C. L. Fernandes

    (Federal University of Rio Grande do Sul)

  • M. T. Vilhena

    (Federal University of Rio Grande do Sul)

  • B. E. J. Bodmann

    (Federal University of Rio Grande do Sul)

Abstract

In this work a novel approach to solve neutron diffusion problems in cylindrical geometry is presented. The analytical expression derived represents an accurate solution to an approximate problem for the multi-group steady state and multi-region diffusion equation in cylinder coordinates. The Parseval identity is shown to be an efficient technique to solve this type of problem.

Suggested Citation

  • J. C. L. Fernandes & M. T. Vilhena & B. E. J. Bodmann, 2013. "A Novel Approach to the Hankel Transform Inversion of the Neutron Diffusion Problem Using the Parseval Identity," 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 105-114, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-7828-7_8
    DOI: 10.1007/978-1-4614-7828-7_8
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