Generation of higher order pseudospectral integration matrices
type: Item
instance of: scholarly article
title: Generation of higher order pseudospectral integration matrices
zbMATH Open document ID: 1170.65105
published in: Applied Mathematics and Computation
publication date: 2009-03-30T00:00:00Z
review text: This paper reports a pseudospeudospectral method based on integrated Chebyshev polynomials. The presented method is applied to numerically solving initial and boundary value problems of linear integral and integro-differential equations. The suggested integration matrix leads to highly accurate results as shown in the given tables, better than those obtained using the original matrix and other modified matrices. The proposed method is much more accurate and superior to the other conventional methods.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45A05
Mathematics Subject Classification ID: 45J05
zbMATH DE Number: 5534849
zbMATH Keywords: pseudospectral methods
zbMATH Keywords: integration matrix
zbMATH Keywords: Chebyshev points
zbMATH Keywords: Chebyshev polynomials
zbMATH Keywords: linear integral equation
zbMATH Keywords: linear integro-differential equations
zbMATH Keywords: boundary value problems
zbMATH Keywords: initial value problems
author: K. T. Elgindy
reviewed by: Lechoslaw Hącia
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: j.amc.2008.08.056
OpenAlex ID: W2044942090
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DOI: 10.1016/J.AMC.2008.08.056
description: scientific article; zbMATH DE number 5534849