One-group steady state diffusion in a heterogeneous slab

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

We derive a customized solution to the diffusion equation in a heterogeneous slab with an arbitrary contiguous source. While aspects of solution have previously been reported in the literature, its full explicit form as presented here by solving a 3-term recurrence, has not. We conclude with a series of exercises demonstrating the utility of the solution.

Original languageEnglish (US)
Pages (from-to)2142-2158
Number of pages17
JournalMathematics and Computers in Simulation
Volume80
Issue number11
DOIs
StatePublished - Jul 1 2010

Keywords

  • Analytical solution
  • Criticality
  • Neutron diffusion
  • Recurrence

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)
  • Numerical Analysis
  • Modeling and Simulation
  • Applied Mathematics

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