  An improvement modification of the Spectral Approach (SA) used for
approximating the nonclassical neutral particle transport equation is described
in this work. The main focus of the modified SA lies on a slight modification
of the nonclassical angular flux representation as a function of truncated
Laguerre series. This leads, in some cases, to a considerable decrease of the
Laguerre truncation order required to generate accurate solutions. Numerical
results are given to illustrate this proposed improvement.
