A new way of obtaining analytic approximations of Chandrasekhar’s H function
Applying the mean value theorem for definite integrals in the non-linear integral equation for Chandrasekhar’s H function describing conservative isotropic scattering, we have derived a new, simple analytic approximation for it, with a maximal relative error below 2.5%. With this new function as a s...
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| Format: | Article |
| Language: | English |
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VINCA Institute of Nuclear Sciences
2007-01-01
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| Series: | Nuclear Technology and Radiation Protection |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/1451-3994/2007/1451-39940702038V.pdf |
| _version_ | 1818118518636281856 |
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| author | Vukanić Jovan Arsenović Dušan Davidović Dragomir M. |
| author_facet | Vukanić Jovan Arsenović Dušan Davidović Dragomir M. |
| author_sort | Vukanić Jovan |
| collection | DOAJ |
| description | Applying the mean value theorem for definite integrals in the non-linear integral equation for Chandrasekhar’s H function describing conservative isotropic scattering, we have derived a new, simple analytic approximation for it, with a maximal relative error below 2.5%. With this new function as a starting-point, after a single iteration in the corresponding integral equation, we have obtained a new, highly accurate analytic approximation for the H function. As its maximal relative error is below 0.07%, it significantly surpasses the accuracy of other analytic approximations. |
| first_indexed | 2024-12-11T04:55:35Z |
| format | Article |
| id | doaj.art-5888d731315c4e4db6bc9f8587e029ab |
| institution | Directory Open Access Journal |
| issn | 1451-3994 |
| language | English |
| last_indexed | 2024-12-11T04:55:35Z |
| publishDate | 2007-01-01 |
| publisher | VINCA Institute of Nuclear Sciences |
| record_format | Article |
| series | Nuclear Technology and Radiation Protection |
| spelling | doaj.art-5888d731315c4e4db6bc9f8587e029ab2022-12-22T01:20:16ZengVINCA Institute of Nuclear SciencesNuclear Technology and Radiation Protection1451-39942007-01-01222384310.2298/NTRP0702038VA new way of obtaining analytic approximations of Chandrasekhar’s H functionVukanić JovanArsenović DušanDavidović Dragomir M.Applying the mean value theorem for definite integrals in the non-linear integral equation for Chandrasekhar’s H function describing conservative isotropic scattering, we have derived a new, simple analytic approximation for it, with a maximal relative error below 2.5%. With this new function as a starting-point, after a single iteration in the corresponding integral equation, we have obtained a new, highly accurate analytic approximation for the H function. As its maximal relative error is below 0.07%, it significantly surpasses the accuracy of other analytic approximations.http://www.doiserbia.nb.rs/img/doi/1451-3994/2007/1451-39940702038V.pdfH functionanalytic approximationisotropic scatteringmonoenergetic transport |
| spellingShingle | Vukanić Jovan Arsenović Dušan Davidović Dragomir M. A new way of obtaining analytic approximations of Chandrasekhar’s H function Nuclear Technology and Radiation Protection H function analytic approximation isotropic scattering monoenergetic transport |
| title | A new way of obtaining analytic approximations of Chandrasekhar’s H function |
| title_full | A new way of obtaining analytic approximations of Chandrasekhar’s H function |
| title_fullStr | A new way of obtaining analytic approximations of Chandrasekhar’s H function |
| title_full_unstemmed | A new way of obtaining analytic approximations of Chandrasekhar’s H function |
| title_short | A new way of obtaining analytic approximations of Chandrasekhar’s H function |
| title_sort | new way of obtaining analytic approximations of chandrasekhar s h function |
| topic | H function analytic approximation isotropic scattering monoenergetic transport |
| url | http://www.doiserbia.nb.rs/img/doi/1451-3994/2007/1451-39940702038V.pdf |
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