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 Zh. Vychisl. Mat. Mat. Fiz., 2007, Volume 47, Number 7, Pages 1248–1263 (Mi zvmmf283)

Analytical integration of the radiative transfer equation with respect to the mean free path in a problem with barrier geometry and a point source

S. N. Shelud'ko

Military unit 70170, ul. Novosel’kovskaya 39, St. Petersburg, 197349, Russia

Abstract: For a problem with a point source located in an infinite homogeneous plane-parallel barrier, the terms of a Neumann series describing the solution to the radiative transfer equation are analytically integrated in part with respect to all the mean free paths.

Key words: radiative transfer equation, analytical integration, Neumann series.

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English version:
Computational Mathematics and Mathematical Physics, 2007, 47:7, 1197–1212

Bibliographic databases:

UDC: 519.634

Citation: S. N. Shelud'ko, “Analytical integration of the radiative transfer equation with respect to the mean free path in a problem with barrier geometry and a point source”, Zh. Vychisl. Mat. Mat. Fiz., 47:7 (2007), 1248–1263; Comput. Math. Math. Phys., 47:7 (2007), 1197–1212

Citation in format AMSBIB
\Bibitem{She07} \by S.~N.~Shelud'ko \paper Analytical integration of the radiative transfer equation with respect to the mean free path in a~problem with barrier geometry and a~point source \jour Zh. Vychisl. Mat. Mat. Fiz. \yr 2007 \vol 47 \issue 7 \pages 1248--1263 \mathnet{http://mi.mathnet.ru/zvmmf283} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2378144} \transl \jour Comput. Math. Math. Phys. \yr 2007 \vol 47 \issue 7 \pages 1197--1212 \crossref{https://doi.org/10.1134/S0965542507070111} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34547650651}