Spectral method for solution of the fractional transport equation
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Date
2010
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Pergamon-elsevier Science Ltd
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Abstract
In this paper, the Chebyshev polynomials expansion method is applied to find both an analytical solution of the fractional transport equation in the one-dimensional plane geometry and its numerical approximations. The idea of the method is in reducing of the fractional transport equation to a system of the linear fractional differential equations for the unknown coefficients of the Chebyshev polynomials expansion. The obtained system of equations is then solved by using the operational method for the Caputo fractional derivative.
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Keywords
Fractional Calculus, Fractional Transport Equation, Chebyshev Polynomials
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Citation
Kadem, A., Luchko, Y., Baleanu, D. (2010). Spectral method for solution of the fractional transport equation. Reports On Mathematical Physics, 66(1), 103-115.
WoS Q
Q4
Scopus Q
Q3
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Volume
66
Issue
1
Start Page
103
End Page
115