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Tau method approximation for radiative transfer problems in a slab medium |
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| Authors: | Mohsen Razzaghi Seth OppenheimerFalih Ahmad |
| Affiliation: | a Department of Mathematics and Statistics, Mississippi State University, P.O. Box MA, Mississippi State, MS 39762, USA b Department of Engineering Technology, The University of North Carolina at Charlotte, Charlotte, NC 28223, USA |
| 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 Legendre tau 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. |
| Keywords: | Tau Radiative transfer Slab medium |
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