Two efficient generalized Laguerre spectral algorithms for fractional initial value problems
type: Item
instance of: scholarly article
title: Two efficient generalized Laguerre spectral algorithms for fractional initial value problems
zbMATH Open document ID: 1291.65240
DOI: 10.1155/2013/546502
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: We present a direct solution technique for approximating linear multiterm fractional differential equations (FDEs) on semi-infinite interval, using generalized Laguerre polynomials. We derive the operational matrix of Caputo fractional derivative of the generalized Laguerre polynomials which is applied together with generalized Laguerre tau approximation for implementing a spectral solution of linear multiterm FDEs on semi-infinite interval subject to initial conditions. The generalized Laguerre pseudo-spectral approximation based on the generalized Laguerre operational matrix is investigated to reduce the nonlinear multiterm FDEs and its initial conditions to nonlinear algebraic system, thus greatly simplifying the problem. Through several numerical examples, we confirm the accuracy and performance of the proposed spectral algorithms. Indeed, the methods yield accurate results, and the exact solutions are achieved for some tested problems.
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A45
zbMATH DE Number: 6306992
Wikidata QID: Q58917096
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/546502
OpenAlex ID: W2138671184
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description: scientific article; zbMATH DE number 6306992