A method of approximate green's function for solving reflection of particles in plane geometry

A method for approximate analytical solution of transport equation for particles in plane geometry is developed by solving Fredholm integral equations. Kernels of these equations are the Green's functions for infinite media treated approximately. Analytical approximation of Green's functio...

Full description

Saved in:
Bibliographic Details
Published inNuclear technology & radiation protection Vol. 31; no. 3; pp. 228 - 232
Main Authors Belic, Cedomir, Simovic, Rodoljub, Stankovic, Koviljka
Format Journal Article
LanguageEnglish
Published VINCA Institute of Nuclear Sciences 01.01.2016
Subjects
Approximation
DPN approximation
Green's function
Green's functions
Integral equations
Mathematical analysis
Mathematical models
Planes
Reflection
reflection coefficient
transport equation
Transport equations
Online AccessGet full text

Cover

More Information
Summary:A method for approximate analytical solution of transport equation for particles in plane geometry is developed by solving Fredholm integral equations. Kernels of these equations are the Green's functions for infinite media treated approximately. Analytical approximation of Green's function is based on decomposition of the functions into terms that are exactly analytically solved and those which are approximately obtained by usual low order DPN approximation. Transport of particles in half-space is treated, and reflection coefficient is determined in the form of an analytical function. Comparison with the exact numerical solution and other approximate methods justified the proposed analytical technique.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1451-3994
1452-8185
DOI:10.2298/NTRP1603228B