An improved modification of the Spectral Approach (SA) used for approximating the nonclassical neutral particle transport equation is described in this work. The term “Spectral” is used to indicate that the nonclassical angular flux is approximated as an expansion in terms of spectral basis functions. In the SA the basis functions are the Laguerre polynomials. The main focus of the modified SA lies on a slight modification of the nonclassical angular flux representation as a truncated Laguerre series. This leads, in some cases, to a considerable decrease of the Laguerre truncation order required to generate accurate solutions, thus improving efficiency. Numerical results are given to illustrate this offered improvement.

在这项工作中描述了用于逼近非经典中性粒子传输方程的光谱方法 (SA) 的改进修改。术语“光谱”用于表示非经典角通量近似为光谱基函数的扩展。在 SA 中，基函数是拉盖尔多项式。修改后的 SA 的主要焦点在于对非经典角通量表示的轻微修改，作为截断的拉盖尔级数。在某些情况下，这会导致生成准确解所需的拉盖尔截断阶数显着减少，从而提高效率。给出了数值结果来说明这种提供的改进。