Author First name, Last name, Institution

Mutaz Mohammad, Zayed University

ORCID Identifiers

0000-0003-0976-6021

Document Type

Article

Source of Publication

Symmetry

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.

ISSN

2073-8994

Publisher

MDPI AG

Volume

11

Issue

7

Disciplines

Life Sciences

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 License
This work is licensed under a Creative Commons Attribution 4.0 License.

Indexed in Scopus

yes

Open Access

yes

Open Access Type

Gold: This publication is openly available in an open access journal/series

Included in

Life Sciences Commons

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