Tbilisi Mathematical Journal
- Tbilisi Math. J.
- Volume 12, Issue 1 (2019), 17-31.
Chebyshev wavelet method for solving radiative transfer equation in a slab medium
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.
This research was supported by a grant from Shahid Beheshti University and research group of Scientific Computing.
Tbilisi Math. J., Volume 12, Issue 1 (2019), 17-31.
Received: 2 September 2018
Accepted: 25 November 2018
First available in Project Euclid: 26 March 2019
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Shekarpaz, S.; Parand, K.; Azari, H. Chebyshev wavelet method for solving radiative transfer equation in a slab medium. Tbilisi Math. J. 12 (2019), no. 1, 17--31. doi:10.32513/tbilisi/1553565623. https://projecteuclid.org/euclid.tbilisi/1553565623