-أريد

Publication Type: Journal
Arabic Authors
English Authors: Osama H. Mohammed، S.F. Fadhel، mohammed G.S. Al-Safi
Abstract: In this paper, approximation techniques based on the shifted Jacobi together with spectral tau technique are presented to solve a class of initial-boundary value problems for the fractional diffusion equations with variable coefficients on a finite domain. The fractional derivatives are described in the Caputo sense. The technique is derived by expanding the required approximate solution as the elements of shifted Jacobi polynomials. Using the operational matrix of the fractional derivative, the problem can be reduced to a set of linear algebraic equations. Numerical examples are included to demonstrate the validity and applicability of the technique and a comparison is made with the existing results to show that the proposed method is easy to implement and produce accurate results.
Publication Date: 1/5/2014
Volume No: 10
Issue No: 3
ISSN/ISBN: 2278-3008/2319-7676
DOI: http://dx.doi.org/10.2139/ssrn.3227808
Pages: 34-44
External Link: https://poseidon01.ssrn.com/delivery.php?ID=780025027093085075004100092111117031007048068055025069102114093123090077028115002024007063049014102035101119121091090030025072000033062052083123074113068005087070090005062075024079122064104093094070116126026118015001075027105124013004123102100074117098&EXT=pdf
Keywords: Fractional Calculus, Jacobi Polynomials, Tau Method, Operational Matrix