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'...
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| Format: | Article |
| Language: | English |
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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 |
| _version_ | 1828839311725821952 |
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| author | Belić Čedomir I. Simović Rodoljub D. Stanković Koviljka Đ. |
| author_facet | Belić Čedomir I. Simović Rodoljub D. Stanković Koviljka Đ. |
| author_sort | Belić Čedomir I. |
| collection | DOAJ |
| description | 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] |
| first_indexed | 2024-12-12T19:21:12Z |
| format | Article |
| id | doaj.art-b3d0bde452534b5ab9e1d572a229e81c |
| institution | Directory Open Access Journal |
| issn | 1451-3994 1452-8185 |
| language | English |
| last_indexed | 2024-12-12T19:21:12Z |
| publishDate | 2016-01-01 |
| publisher | VINCA Institute of Nuclear Sciences |
| record_format | Article |
| series | Nuclear Technology and Radiation Protection |
| spelling | doaj.art-b3d0bde452534b5ab9e1d572a229e81c2022-12-22T00:14:36ZengVINCA Institute of Nuclear SciencesNuclear Technology and Radiation Protection1451-39941452-81852016-01-0131322823210.2298/NTRP1603228B1451-39941603228BA method of approximate green's function for solving reflection of particles in plane geometryBelić Čedomir I.0Simović Rodoljub D.1Stanković Koviljka Đ.2Faculty of Electrical Engineering, BelgradeVinča Institute of Nuclear Sciences, BelgradeFaculty of Electrical Engineering, BelgradeA 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]http://www.doiserbia.nb.rs/img/doi/1451-3994/2016/1451-39941603228B.pdftransport equationGreen's functionDPN approximationreflection coefficient |
| spellingShingle | Belić Čedomir I. Simović Rodoljub D. Stanković Koviljka Đ. A method of approximate green's function for solving reflection of particles in plane geometry Nuclear Technology and Radiation Protection transport equation Green's function DPN approximation reflection coefficient |
| title | A method of approximate green's function for solving reflection of particles in plane geometry |
| title_full | A method of approximate green's function for solving reflection of particles in plane geometry |
| title_fullStr | A method of approximate green's function for solving reflection of particles in plane geometry |
| title_full_unstemmed | A method of approximate green's function for solving reflection of particles in plane geometry |
| title_short | A method of approximate green's function for solving reflection of particles in plane geometry |
| title_sort | method of approximate green s function for solving reflection of particles in plane geometry |
| topic | transport equation Green's function DPN approximation reflection coefficient |
| url | http://www.doiserbia.nb.rs/img/doi/1451-3994/2016/1451-39941603228B.pdf |
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