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January 2019 Chebyshev wavelet method for solving radiative transfer equation in a slab medium
S. Shekarpaz, K. Parand, H. Azari
Tbilisi Math. J. 12(1): 17-31 (January 2019). DOI: 10.32513/tbilisi/1553565623

Abstract

In this paper, a numerical method for solving the radiative transfer equation in a slab medium with isotropic scattering is presented. By employing the properties of Chebyshev wavelets together with the collocation method, the problem is reduced into a system of algebraic equations and the approximate solutions are computed. Moreover, numerical examples are included to demonstrate the validity and applicability of this method and a comparison is made with the existing results.

Funding Statement

This research was supported by a grant from Shahid Beheshti University and research group of Scientific Computing.

Citation

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S. Shekarpaz. K. Parand. H. Azari. "Chebyshev wavelet method for solving radiative transfer equation in a slab medium." Tbilisi Math. J. 12 (1) 17 - 31, January 2019. https://doi.org/10.32513/tbilisi/1553565623

Information

Received: 2 September 2018; Accepted: 25 November 2018; Published: January 2019
First available in Project Euclid: 26 March 2019

zbMATH: 07172297
MathSciNet: MR3954216
Digital Object Identifier: 10.32513/tbilisi/1553565623

Subjects:
Primary: 76M22
Secondary: 34B15, 34B40, 65T60

Rights: Copyright © 2019 Tbilisi Centre for Mathematical Sciences

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Vol.12 • No. 1 • January 2019
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