Source of Publication
© 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.
B-splines, Fredholm integral equations, Multiresolution analysis, Oblique extension principle, Tight framelets, Unitary extension principle, Wavelets
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
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.
Indexed in Scopus
Open Access Type
Gold: This publication is openly available in an open access journal/series