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

J. C. L. Fernandes (), M. T. Vilhena () and B. E. J. Bodmann ()
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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

Chapter Chapter 8 in Integral Methods in Science and Engineering, 2013, pp 105-114 from Springer

Abstract: 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.

Keywords: Multi-group neutron diffusion; Heterogeneous medium; Cylinder geometry; Analytical solution; Heaviside inversion theorem; Parseval identity (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_8

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DOI: 10.1007/978-1-4614-7828-7_8

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