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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Main Authors:	Vukanić Jovan, Arsenović Dušan, Davidović Dragomir M.
Format:	Article
Language:	English
Published:	VINCA Institute of Nuclear Sciences 2007-01-01
Series:	Nuclear Technology and Radiation Protection
Subjects:	H function analytic approximation isotropic scattering monoenergetic transport
Online Access:	http://www.doiserbia.nb.rs/img/doi/1451-3994/2007/1451-39940702038V.pdf

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spelling	doaj-5888d731315c4e4db6bc9f8587e029ab2020-11-24T21:48:42ZengVINCA 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
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Vukanić Jovan Arsenović Dušan Davidović Dragomir M.
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
author_facet	Vukanić Jovan Arsenović Dušan Davidović Dragomir M.
author_sort	Vukanić Jovan
title	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_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_sort	new way of obtaining analytic approximations of chandrasekhar’s h function
publisher	VINCA Institute of Nuclear Sciences
series	Nuclear Technology and Radiation Protection
issn	1451-3994
publishDate	2007-01-01
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.
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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A new way of obtaining analytic approximations of Chandrasekhar’s H function

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