Iteration methods for Fredholm integral equations of the second kind based on spline quasi-interpolants

In this paper, we propose an efficient iteration algorithm for Fredholm integral equations of the second kind based on spline quasi-interpolants (abbr. QIs). We show that for every iteration step we obtain superconvergence rates. A superconvergent method called functional approximation method based on QIs is also developed. We illustrate our results by numerical experiments.

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Year of publication:	2014
Authors:	Allouch, C. ; Sablonnière, P.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 99.2014, C, p. 19-27
Publisher:	Elsevier
Subject:	Quasi-interpolants \| Splines \| Iteration \| Equation integral

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010869982