A steady state solution for the one-dimensional energy dependent neutron transport equation in an infinite medium

• Main Author: Baker, Randal Scott, 1960-
• Other Authors: Ganapol, B. D.
• Language: en_US
• Published: The University of Arizona. 1988
• Subjects: Neutron transport theory.
• Online Access: http://hdl.handle.net/10150/276711

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.