  This paper introduces a mathematical approach that allows one to numerically
solve the nonclassical transport equation in a deterministic fashion using
classical numerical procedures. The nonclassical transport equation describes
particle transport for random statistically homogeneous systems in which the
distribution function for free-paths between scattering centers is
nonexponential. We use a spectral method to represent the nonclassical flux as
a series of Laguerre polynomials in the free-path variable $s$, resulting in a
nonclassical equation that has the form of a classical transport equation. We
present numerical results that validate the spectral approach, considering
transport in slab geometry for both classical and nonclassical problems in the
discrete ordinates formulation.
