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A new, highly precise benchmark for the monoenergetic 1 D neutron transport equation with isotropic scattering, based on Case’s singular eigenfunctions, is presented. Because of the nature of singular distributions, Case’s analytical solution notoriously resists straightforward numerical computation. To overcome this difficulty, two complementary Lagrange interpolation schemes are constructed to achieve extreme precision (∼8 to 10 places) for number of secondaries in the range 0.001 &lt;  c  &lt; 0. and slab thicknesses in the range 1 &lt; Δ &lt;100.

The Ln / Ln 0 Method for 1D Neutron Transport in a Slab Medium