On the numerical solution of Cauchy singular integral equations in neutron transport

被引：8

作者：

Mohankumar, N. ^{[1
]}

Natarajan, A. ^{[1
]}

机构：

[1] Indira Gandhi Ctr Atom Res, Radiol Safety Div, Kalpakkam 603102, Tamil Nadu, India

来源：

ANNALS OF NUCLEAR ENERGY | 2008年 / 35卷 / 10期

关键词：

D O I：

10.1016/j.anucene.2008.05.007

中图分类号：

TL [原子能技术]; O571 [原子核物理学];

学科分类号：

0827 ; 082701 ;

摘要：

The use of Case eigen functions in the solution of Boltzmann equation for neutron transport results in an integral equation with a singular kernel. We show a solution prescription that combines a polynomial expansion for the unknown, a collocation procedure for fixing the expansion coefficients and a Double Exponential quadrature for the Cauchy principal value integral. For a set of test problems, we demonstrate the advantages of this method over the same procedure based on the TANH quadrature. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1800 / 1804

页数：5

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