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One-group steady state diffusion in a heterogeneous slab

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  • Ganapol, B.

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.

Suggested Citation

  • Ganapol, B., 2010. "One-group steady state diffusion in a heterogeneous slab," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(11), pages 2142-2158.
    • Handle: RePEc:eee:matcom:v:80:y:2010:i:11:p:2142-2158
    DOI: 10.1016/j.matcom.2010.04.008
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