The one-dimensional energy dependent linear neutron transport equation has been solved for the case of constant cross sections in an infinite absorbing medium with the approximation of isotropic scattering in the laboratory frame of reference. The method of solution was to apply a Fourier transform with respect to space and a Laplace transform with respect to lethargy. The Laplace inversion is performed analytically, while the Fourier inversion is accomplished by a highly accurate algorithm employing a Hurwitz-Zweifel expansion in combination with an Euler-Knopp transformation and a Romberg quadrature routine. This method results in solutions accurate to four places which are suitable for benchmarks.
| Identifer | oai:union.ndltd.org:arizona.edu/oai:arizona.openrepository.com:10150/276711 |
| Date | January 1988 |
| Creators | Baker, Randal Scott, 1960- |
| Contributors | Ganapol, B. D. |
| Publisher | The University of Arizona. |
| Source Sets | University of Arizona |
| Language | en_US |
| Detected Language | English |
| Type | text, Thesis-Reproduction (electronic) |
| Rights | Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author. |
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