Symmetry and Solution of Neutron Transport Equations in Nonhomogeneous Media
We propose the group-theoretical approach which enables one to generate solutions of equations of mathematical physics in nonhomogeneous media from solutions of the same problem in a homogeneous medium. The efficiency of this method is illustrated with examples of thermal neutron diffusion problems....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/724238 |
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| _version_ | 1832559497954983936 |
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| author | Ivan Tsyfra Tomasz Czyżycki |
| author_facet | Ivan Tsyfra Tomasz Czyżycki |
| author_sort | Ivan Tsyfra |
| collection | DOAJ |
| description | We propose the group-theoretical approach which enables one to generate solutions of equations of mathematical physics in nonhomogeneous media from solutions of the same problem in a homogeneous medium. The efficiency of this method is illustrated with examples of thermal neutron diffusion problems. Such problems appear in neutron physics and nuclear geophysics. The method is also applicable to nonstationary and nonintegrable in quadratures differential equations. |
| format | Article |
| id | doaj-art-89c2e9ffed04410196f0f6cabf107fdc |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-89c2e9ffed04410196f0f6cabf107fdc2025-02-03T01:29:53ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/724238724238Symmetry and Solution of Neutron Transport Equations in Nonhomogeneous MediaIvan Tsyfra0Tomasz Czyżycki1AGH University of Science and Technology, Faculty of Applied Mathematics, 30 Mickiewicza Avenue, 30-059 Krakow, PolandInstitute of Mathematics, University of Białystok, Akademicka 2, 15-267 Białystok, PolandWe propose the group-theoretical approach which enables one to generate solutions of equations of mathematical physics in nonhomogeneous media from solutions of the same problem in a homogeneous medium. The efficiency of this method is illustrated with examples of thermal neutron diffusion problems. Such problems appear in neutron physics and nuclear geophysics. The method is also applicable to nonstationary and nonintegrable in quadratures differential equations.http://dx.doi.org/10.1155/2014/724238 |
| spellingShingle | Ivan Tsyfra Tomasz Czyżycki Symmetry and Solution of Neutron Transport Equations in Nonhomogeneous Media Abstract and Applied Analysis |
| title | Symmetry and Solution of Neutron Transport Equations in Nonhomogeneous Media |
| title_full | Symmetry and Solution of Neutron Transport Equations in Nonhomogeneous Media |
| title_fullStr | Symmetry and Solution of Neutron Transport Equations in Nonhomogeneous Media |
| title_full_unstemmed | Symmetry and Solution of Neutron Transport Equations in Nonhomogeneous Media |
| title_short | Symmetry and Solution of Neutron Transport Equations in Nonhomogeneous Media |
| title_sort | symmetry and solution of neutron transport equations in nonhomogeneous media |
| url | http://dx.doi.org/10.1155/2014/724238 |
| work_keys_str_mv | AT ivantsyfra symmetryandsolutionofneutrontransportequationsinnonhomogeneousmedia AT tomaszczyzycki symmetryandsolutionofneutrontransportequationsinnonhomogeneousmedia |