Solving Fractional Diffusion Equation via the Collocation Method Based on Fractional Legendre Functions. (24th July 2014)

• Record Type: Journal Article
• Authors: Syam, Muhammed; Al-Refai, Mohammed
• Other Names: Tokar Mikhail Academic Editor.
• Is Part Of: Journal of computational methods in physics. Volume 2014(2014)
• Publication Date: 2014-07-24
• Subjects: Physics -- Data processing -- Periodicals; Mathematical physics -- Data processing -- Periodicals; Mathematical physics -- Data processing; Physics -- Data processing; Electronic journals; Periodicals; Electronic journals; 530.0285
• DOI: 10.1155/2014/381074
• Languages: English
• ISSNs: 2356-7287

Abstract

Abstract : 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.