A pseudospectral algorithm for solving multipantograph delay systems on a semi-infinite interval using Legendre rational functions
type: Item
instance of: scholarly article
title: A pseudospectral algorithm for solving multipantograph delay systems on a semi-infinite interval using Legendre rational functions
zbMATH Open document ID: 1474.65251
DOI: 10.1155/2014/816473
author: D. Baleanu
author: E. H. Doha
author: A. H. Bhrawy
author: R. M. Hafez
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: A new Legendre rational pseudospectral scheme is proposed and developed for solving numerically systems of linear and nonlinear multipantograph equations on a semi-infinite interval. A Legendre rational collocation method based on Legendre rational-Gauss quadrature points is utilized to reduce the solution of such systems to systems of linear and nonlinear algebraic equations. In addition, accurate approximations are achieved by selecting few Legendre rational-Gauss collocation points. The numerical results obtained by this method have been compared with various exact solutions in order to demonstrate the accuracy and efficiency of the proposed method. Indeed, for relatively limited nodes used, the absolute error in our numerical solutions is sufficiently small.
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 34K07
zbMATH DE Number: 7023132
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/816473
OpenAlex ID: W1996580876
Wikidata QID: Q59041750
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description: scientific article; zbMATH DE number 7023132