Analytical Method Based on Walsh Function Combined With Orthogonal Polynomial for Fractional Transport Equation
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Abstract
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.
Description
Keywords
Fractional Calculus, Walsh Function, Fractional Transport Equation, Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Integro-ordinary differential equations, Walsh function, Fractional derivatives and integrals, Nuclear reactor theory; neutron transport, fractional transport equation, fractional calculus
Fields of Science
0209 industrial biotechnology, 02 engineering and technology, 0101 mathematics, 01 natural sciences
Citation
Kadem, A., Baleanu, D. (2010). Analytical method based on Walsh function combined with orthogonal polynomial for fractional transport equation. Communications In Nonlinear Science And Numerical Simulation, 15(3), 491-501. http://dx.doi.org/10.1016/j.cnsns.2009.05.024
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OpenCitations Citation Count
20
Volume
15
Issue
3
Start Page
491
End Page
501
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