๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Fractional radiative transfer equation within Chebyshev spectral approach

โœ Scribed by Abdelouhab Kadem; Dumitru Baleanu

Book ID
104008696
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
498 KB
Volume
59
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this work we report the convergence of the Chebyshev polynomials combined with the S N method for the steady state transport equation using the fractional derivative. The procedure is based on the expansion of the angular flux in a truncated series of orthogonal polynomials that results in the transformation of the multidimensional problem into a system of fractional differential equations. The convergence of this approach is studied in the context of the multidimensional discrete-ordinates equations.

๐Ÿ“œ SIMILAR VOLUMES

Chebyshev Spectral Methods for Radiative
Chebyshev Spectral Methods for Radiative Transfer
โœ Kim, Arnold D.; Moscoso, Miguel ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Society for Industrial and Applied Mathematics ๐ŸŒ English โš– 222 KB
Several Symbolic Augmented Chebyshev Exp
Several Symbolic Augmented Chebyshev Expansions for Solving the Equation of Radiative Transfer
โœ Jay I. Frankel ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 583 KB

Three expansion methods are described using Chebyshev polynomials of the first kind for solving the integral form of the equation of radiative transfer in an isotropically scattering, absorbing, and emitting plane-parallel medium. With the aid of symbolic computation, the unknown expansion coefficie