A numerical solution of fredholm integral equations of the second kind based on tight framelets generated by the oblique extension principle

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.

DOI Link

10.3390/sym11070854

ISSN

2073-8994

Publisher

MDPI AG

Volume

11

Issue

7

Disciplines

Mathematics

Keywords

B-splines, Fredholm integral equations, Multiresolution analysis, Oblique extension principle, Tight framelets, Unitary extension principle, Wavelets

Scopus ID

85068553389

Creative Commons License

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

Recommended Citation

Mohammad, Mutaz, "A numerical solution of fredholm integral equations of the second kind based on tight framelets generated by the oblique extension principle" (2019). All Works. 211.
https://zuscholars.zu.ac.ae/works/211

Indexed in Scopus

yes

Open Access

yes

Open Access Type

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