Fractional radiative transfer equation within Chebyshev spectral approach

  • Authors:

  • Abdelouhab Kadem;Dumitru Baleanu

  • Affiliations:

  • L. M. F. N., Mathematics Department, University of Setif, Algeria;Çankaya University, Department of Mathematics & Computer Science, Ogretmenler Cad. 14 06530, Balgat-Ankara, Turkey and National Institute for Laser, Plasma and Radiation, Physics, Institute o ...

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2010

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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.