Error Estimation of an Approximation in a Wavelet Collocation Method

This article describes possibility to assess anapproximation in a wavelet collocation method. In a researchproject several different types of differential equations wereapproximated with this method. A lot of parameters must beadjusted in the discussed method here, like the number of basiselements,...

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Main Authors: Marco SCHUCHMANN, Michael RASGULJAJEW
Format: Article
Language:English
Published: Stefan cel Mare University of Suceava 2013-01-01
Series:Journal of Applied Computer Science & Mathematics
Subjects:
Online Access:http://jacs.usv.ro/getpdf.php?paperid=14_8
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author Marco SCHUCHMANN
Michael RASGULJAJEW
author_facet Marco SCHUCHMANN
Michael RASGULJAJEW
author_sort Marco SCHUCHMANN
collection DOAJ
description This article describes possibility to assess anapproximation in a wavelet collocation method. In a researchproject several different types of differential equations wereapproximated with this method. A lot of parameters must beadjusted in the discussed method here, like the number of basiselements, the resolution parameter j or the number ofcollocation points. In this article we define a criterion whichfollows from an error estimation of the approximation.
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spelling doaj.art-4a84d3f9c8ec4596b32a6bf72292e0312022-12-21T23:29:51ZengStefan cel Mare University of SuceavaJournal of Applied Computer Science & Mathematics2066-42732066-31292013-01-017144548Error Estimation of an Approximation in a Wavelet Collocation MethodMarco SCHUCHMANNMichael RASGULJAJEWThis article describes possibility to assess anapproximation in a wavelet collocation method. In a researchproject several different types of differential equations wereapproximated with this method. A lot of parameters must beadjusted in the discussed method here, like the number of basiselements, the resolution parameter j or the number ofcollocation points. In this article we define a criterion whichfollows from an error estimation of the approximation.jacs.usv.ro/getpdf.php?paperid=14_8ODEsinc collocationShannon waveletwavelet collocationerror estimation
spellingShingle Marco SCHUCHMANN
Michael RASGULJAJEW
Error Estimation of an Approximation in a Wavelet Collocation Method
Journal of Applied Computer Science & Mathematics
ODE
sinc collocation
Shannon wavelet
wavelet collocation
error estimation
title Error Estimation of an Approximation in a Wavelet Collocation Method
title_full Error Estimation of an Approximation in a Wavelet Collocation Method
title_fullStr Error Estimation of an Approximation in a Wavelet Collocation Method
title_full_unstemmed Error Estimation of an Approximation in a Wavelet Collocation Method
title_short Error Estimation of an Approximation in a Wavelet Collocation Method
title_sort error estimation of an approximation in a wavelet collocation method
topic ODE
sinc collocation
Shannon wavelet
wavelet collocation
error estimation
url http://jacs.usv.ro/getpdf.php?paperid=14_8
work_keys_str_mv AT marcoschuchmann errorestimationofanapproximationinawaveletcollocationmethod
AT michaelrasguljajew errorestimationofanapproximationinawaveletcollocationmethod