One-group steady state diffusion in a heterogeneous slab

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 2010

Fingerprint

Diffusion equation
Recurrence
Exercise
Series
Arbitrary
Term
Form

Keywords

  • Analytical solution
  • Criticality
  • Neutron diffusion
  • Recurrence

ASJC Scopus subject areas

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

Cite this

One-group steady state diffusion in a heterogeneous slab. / Ganapol, Barry D.

In: Mathematics and Computers in Simulation, Vol. 80, No. 11, 07.2010, p. 2142-2158.

Research output: Contribution to journalArticle

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