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Browsing by Author "Kadem, Abdelouhab"

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    Citation - WoS: 27
    Citation - Scopus: 33
    Analytical Method Based on Walsh Function Combined With Orthogonal Polynomial for Fractional Transport Equation
    (Elsevier Science Bv, 2010) Baleanu, Dumitru; Kadem, Abdelouhab
    In this paper a novel method based on Walsh function combined with a Chebyshev polynomials of the first kind was applied for the resolution of fractional transport equation in three-dimensions. A specific application of the method is discussed. (C) 2009 Elsevier B.V. All rights reserved.
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    Citation - WoS: 19
    Citation - Scopus: 21
    Fractional Radiative Transfer Equation Within Chebyshev Spectral Approach
    (Pergamon-elsevier Science Ltd, 2010) Baleanu, Dumitru; Kadem, Abdelouhab
    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.