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Article
A numerical solution of fredholm integral equations of the second kind based on tight framelets generated by the oblique extension principle
Symmetry
ORCID Identifiers
Document Type
Article
Publication Date
7-1-2019
Abstract
© 2019 by the authors. In this paper, we present a new computational method for solving linear Fredholm integral equations of the second kind, which is based on the use of B-spline quasi-affine tight framelet systems generated by the unitary and oblique extension principles. We convert the integral equation to a system of linear equations. We provide an example of the construction of quasi-affine tight framelet systems. We also give some numerical evidence to illustrate our method. The numerical results confirm that the method is efficient, very effective and accurate.
DOI Link
10.3390/sym11070854
Publisher
MDPI AG
Disciplines
Keywords
- B-splines,
- Fredholm integral equations,
- Multiresolution analysis,
- Oblique extension principle,
- Tight framelets,
- Unitary extension principle,
- Wavelets
Scopus ID
85068553389
Creative Commons License
Creative Commons Attribution 4.0 International
Indexed in Scopus
Yes
Open Access
Yes
Open Access Type
Gold: This publication is openly available in an open access journal/series
Citation Information
Mutaz Mohammad. "A numerical solution of fredholm integral equations of the second kind based on tight framelets generated by the oblique extension principle" Symmetry Vol. 11 Iss. 7 (2019) ISSN: <a href="https://v2.sherpa.ac.uk/id/publication/issn/2073-8994" target="_blank">2073-8994</a> Available at: http://works.bepress.com/mutaz-mohammad/15/