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An improved spectral approach for solving the nonclassical neutron particle transport equation

2021/08/24 by L.R.C. Moraes, L. R. C. Moraes, J. K. Patel +9
Engineering · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Nuclear Theory (nucl-th) #Nuclear reactor physics and engineering #Radiative Heat Transfer Studies #nucl-th

paper · pdf · doi:10.48550/arxiv.2108.10782

6 pages, 1 table and 1 figure

arxiv created 2021/08/24 · openalex publication_date 2021/08/24 · arxiv updated 2021/08/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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