A numerical solution of fredholm integral equations of the second kind based on tight framelets generated by the oblique extension principle
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
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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.
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Gold: This publication is openly available in an open access journal/series