Fractional Radiative Transfer Equation Within Chebyshev Spectral Approach

Abstract

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. (C) 2009 Elsevier Ltd. All rights reserved.