Numerical solution of radiative transfer problems in a slab medium by Galerkin-type approximation techniques

Mohsen Razzaghi; Seth Oppenheimer; Falih Ahmad

doi:10.1238/Physica.Regular.064a00097

Numerical solution of radiative transfer problems in a slab medium by Galerkin-type approximation techniques

Mohsen Razzaghi, Seth Oppenheimer, Falih Ahmad

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

An approximate method for solving the radiative transfer equation in a slab medium with an isotropic scattering is proposed. The method is based upon constructing the double Legendre series to approximate the required solution using a Galerkin-type method. The differential and integral expressions which arise in the radiative transfer equation are converted into a system of linear algebraic equations which can be solved for the unknown coefficients. Numerical examples are included to demonstrate the validity and applicability of the method and a comparison is made with existing results.

Original language	English (US)
Pages (from-to)	97-101
Number of pages	5
Journal	Physica Scripta
Volume	64
Issue number	2
DOIs	https://doi.org/10.1238/Physica.Regular.064a00097
State	Published - Aug 2001
Externally published	Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Mathematical Physics
Condensed Matter Physics

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10.1238/Physica.Regular.064a00097

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abstract = "An approximate method for solving the radiative transfer equation in a slab medium with an isotropic scattering is proposed. The method is based upon constructing the double Legendre series to approximate the required solution using a Galerkin-type method. The differential and integral expressions which arise in the radiative transfer equation are converted into a system of linear algebraic equations which can be solved for the unknown coefficients. Numerical examples are included to demonstrate the validity and applicability of the method and a comparison is made with existing results.",

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Numerical solution of radiative transfer problems in a slab medium by Galerkin-type approximation techniques

Abstract

ASJC Scopus subject areas

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