An Analysis of the Time-Dependent Neutron Transport Equation with Delayed Neutrons by the Method of Matched Asymptotic Expansions
- 1 February 1969
- journal article
- research article
- Published by Taylor & Francis in Nuclear Science and Engineering
- Vol. 35 (2) , 240-248
- https://doi.org/10.13182/nse69-a21139
Abstract
The time-dependent neutron transport equation is treated as a problem in singular perturbation theory. The method of matched asymptotic expansions is used to find equations yielding approximate solutions that are uniformly valid in time. The long-time solutions resulting from this method are those of the prompt-jump approximation. Although best suited for fast subcritical systems, numerical results from diffusion theory calculations indicate that very good accuracy is obtained for thermal systems as well.Keywords
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