A splitting iterative method for solving the neutron transport equation
This paper presents an iterative method based on a self‐adjoint and m‐accretive splitting for the numerical treatment of the steady state neutron transport equation. Theoretical analysis shows that this method converges unconditionally to the unique solution of the transport equation. The convergenc...
Main Authors: | , |
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Format: | Article |
Language: | English |
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Vilnius Gediminas Technical University
2009-09-01
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Series: | Mathematical Modelling and Analysis |
Subjects: | |
Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/6548 |
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author | Onana Awono Jacques Tagoudjeu |
author_facet | Onana Awono Jacques Tagoudjeu |
author_sort | Onana Awono |
collection | DOAJ |
description | This paper presents an iterative method based on a self‐adjoint and m‐accretive splitting for the numerical treatment of the steady state neutron transport equation. Theoretical analysis shows that this method converges unconditionally to the unique solution of the transport equation. The convergence of the method is numerically illustrated and compared with the standard Source Iteration method and multigrid method on sample problems in slab geometry and in two dimensional space.
First published online: 14 Oct 2010 |
first_indexed | 2024-12-19T12:38:42Z |
format | Article |
id | doaj.art-e1476bc422834dd68a44cefced53f73c |
institution | Directory Open Access Journal |
issn | 1392-6292 1648-3510 |
language | English |
last_indexed | 2024-12-19T12:38:42Z |
publishDate | 2009-09-01 |
publisher | Vilnius Gediminas Technical University |
record_format | Article |
series | Mathematical Modelling and Analysis |
spelling | doaj.art-e1476bc422834dd68a44cefced53f73c2022-12-21T20:21:04ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102009-09-0114310.3846/1392-6292.2009.14.271-289A splitting iterative method for solving the neutron transport equationOnana Awono0Jacques Tagoudjeu1Ecole Nationale Supérieure Polytechnique, University of Yaoundé I; Po.Box 8390 Yaoundé, CameroonEcole Nationale Supérieure Polytechnique, University of Yaoundé I; Faculty of Science, University of Yaoundé I; Po.Box 812 Yaoundé, CameroonThis paper presents an iterative method based on a self‐adjoint and m‐accretive splitting for the numerical treatment of the steady state neutron transport equation. Theoretical analysis shows that this method converges unconditionally to the unique solution of the transport equation. The convergence of the method is numerically illustrated and compared with the standard Source Iteration method and multigrid method on sample problems in slab geometry and in two dimensional space. First published online: 14 Oct 2010https://journals.vgtu.lt/index.php/MMA/article/view/6548Transport equationself adjoint operatorm‐accretiveoperator splittingiterative method |
spellingShingle | Onana Awono Jacques Tagoudjeu A splitting iterative method for solving the neutron transport equation Mathematical Modelling and Analysis Transport equation self adjoint operator m‐accretive operator splitting iterative method |
title | A splitting iterative method for solving the neutron transport equation |
title_full | A splitting iterative method for solving the neutron transport equation |
title_fullStr | A splitting iterative method for solving the neutron transport equation |
title_full_unstemmed | A splitting iterative method for solving the neutron transport equation |
title_short | A splitting iterative method for solving the neutron transport equation |
title_sort | splitting iterative method for solving the neutron transport equation |
topic | Transport equation self adjoint operator m‐accretive operator splitting iterative method |
url | https://journals.vgtu.lt/index.php/MMA/article/view/6548 |
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