Convergence theorem for the Haar wavelet based discretization method

The accuracy issues of Haar wavelet method are studied. The order of convergence as well as error bound of the Haar wavelet method is derived for general nth order ODE. The Richardson extrapolation method is utilized for improving the accuracy of the solution. A number of model problems are examined...

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Bibliographic Details
Published in:Composite structures 2015-08, Vol.126, p.227-232
Main Authors: Majak, J., Shvartsman, B.S., Kirs, M., Pohlak, M., Herranen, H.
Format: Article
Language:English
Subjects:
Accuracy
Accuracy issues
Composite structures
Convergence
Convergence theorem
Discretization
Extrapolation
Haar wavelet method
Mathematical models
Numerical evaluation of the order of convergence
Theorems
Wavelet
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Summary:The accuracy issues of Haar wavelet method are studied. The order of convergence as well as error bound of the Haar wavelet method is derived for general nth order ODE. The Richardson extrapolation method is utilized for improving the accuracy of the solution. A number of model problems are examined. The numerically estimated order of convergence has been found in agreement with convergence theorem results in the case of all model problems considered.
ISSN:0263-8223
1879-1085
DOI:10.1016/j.compstruct.2015.02.050