A modified generalized Laguerre spectral method for fractional differential equations on the half line
type: Item
instance of: scholarly article
title: A modified generalized Laguerre spectral method for fractional differential equations on the half line
zbMATH Open document ID: 1291.65239
DOI: 10.1155/2013/413529
author: A. H. Bhrawy
author: D. Baleanu
author: Taha M. Taha
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: This paper deals with modified generalized Laguerre spectral tau and collocation methods for solving linear and nonlinear multiterm fractional differential equations (FDEs) on the half line. A new formula expressing the Caputo fractional derivatives of modified generalized Laguerre polynomials of any degree and for any fractional order in terms of the modified generalized Laguerre polynomials themselves is derived. An efficient direct solver technique is proposed for solving the linear multiterm FDEs with constant coefficients on the half line using a modified generalized Laguerre tau method. The spatial approximation with its Caputo fractional derivatives is based on modified generalized Laguerre polynomials \(L_i^{(\alpha,\beta)}(x)\) with \(x\in\Lambda=(0,\infty)\), \(\alpha>-1\), and \(\beta>0\), and \(i\) is the polynomial degree. We implement and develop the modified generalized Laguerre collocation method based on the modified generalized Laguerre-Gauss points which is used as collocation nodes for solving nonlinear multiterm FDEs on the half line.
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 45J05
zbMATH DE Number: 6306812
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/413529
OpenAlex ID: W2157712686
Wikidata QID: Q58916221
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description: scientific article; zbMATH DE number 6306812