Solving Fractional Diffusion Equation via the Collocation Method Based on Fractional Legendre Functions

Solving Fractional Diffusion Equation via the Collocation Method Based on Fractional Legendre Functions

A formulation of the fractional Legendre functions is constructed to solve the generalized time-fractional diffusion equation. The fractional derivative is described in the Caputo sense. The method is based on the collection Legendre and path following methods. Analysis for the presented method is g...

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Veröffentlicht in:Journal of computational methods in physics 2014-07, Vol.2014, p.1-10
Hauptverfasser: Syam, Muhammed, Al-Refai, Mohammed
Format: Artikel
Sprache:eng
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Zusammenfassung:A formulation of the fractional Legendre functions is constructed to solve the generalized time-fractional diffusion equation. The fractional derivative is described in the Caputo sense. The method is based on the collection Legendre and path following methods. Analysis for the presented method is given and numerical results are presented.
ISSN:2356-7287
2314-6834
DOI:10.1155/2014/381074