Title

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

Source of Publication

Symmetry

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.

Document Type

Article

Publication Date

7-1-2019

DOI

10.3390/sym11070854

Author First name, Last name, Institution

Mutaz Mohammad, Zayed University

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