Müntz Spectral Methods for the Time-Fractional Diffusion Equation

In this paper, we propose and analyze a fractional spectral method for the time-fractional diffusion equation (TFDE). The main novelty of the method is approximating the solution by using a new class of generalized fractional Jacobi polynomials (GFJPs), also known as Müntz polynomials. We construct...

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Bibliographic Details
Published in:	Journal of computational methods in applied mathematics Vol. 18; no. 1; pp. 43 - 62
Main Authors:	Hou, Dianming, Hasan, Mohammad Tanzil, Xu, Chuanju
Format:	Journal Article
Language:	English
Published:	Minsk De Gruyter 01.01.2018 Walter de Gruyter GmbH
Subjects:	41A05 41A10 41A25 45K05 65M70 65N35 Approximation Exact solutions Fractional Jacobi Polynomials Galerkin method Mathematical analysis Müntz Polynomials Polynomials Singularity Spectra Spectral Accuracy Spectral methods Time-Fractional Diffusion Equation Weighted Sobolev Spaces
ISSN:	1609-4840, 1609-9389
Online Access:	Get full text
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