One-group steady state diffusion in a heterogeneous slab

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.

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Year of publication:	2010
Authors:	Ganapol, B.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 80.2010, 11, p. 2142-2158
Publisher:	Elsevier
Subject:	Neutron diffusion \| Criticality \| Analytical solution \| Recurrence

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010870544