A new operational matrix of derivative for Chebyshev wavelets and its applications in solving ordinary differential equations with non analytic solution
type: Item
instance of: scholarly article
zbMATH Open document ID: 1250.65091
publication date: 2012-08-28T00:00:00Z
full work available at URL: index.html
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 65D25
zbMATH DE Number: 6073322
zbMATH Keywords: Chebyshev wavelets
zbMATH Keywords: shifted Chebyshev polynomials
zbMATH Keywords: differentiation matrix
zbMATH Keywords: Galerkin method
zbMATH Keywords: initial or boundary value problems
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
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author: S. Gh. Hosseini
author: F. Mohammadi
title: A new operational matrix of derivative for Chebyshev wavelets and its applications in solving ordinary differential equations with non analytic solution
published in: Applied Mathematical Sciences (Ruse)
review text: The authors propose to use a Galerkin method based on Chebyshev wavelets for the solution of initial or boundary value problems in ordinary differential equations. To realize this approach, the differentiation matrix representing higher derivatives is derived. The claim that this yields an efficient integrator for problems with non-analytic solutions is illustrated by several numerical examples, where the coefficients and solutions may display singularities, but not substantiated by comparisons with established standard discretization methods.
reviewed by: Othmar Koch
description: scientific article; zbMATH DE number 6073322