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'...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
VINCA Institute of Nuclear Sciences
2016-01-01
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| Series: | Nuclear Technology and Radiation Protection |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/1451-3994/2016/1451-39941603228B.pdf |
| 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. [Projekat Ministarstva nauke
Republike Srbije, br. 171007] |
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| ISSN: | 1451-3994 1452-8185 |