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

C. Allouch and P. Sablonnière

Mathematics and Computers in Simulation (MATCOM), 2014, vol. 99, issue C, 19-27

Abstract: 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.

Keywords: Quasi-interpolants; Splines; Iteration; Equation integral (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:99:y:2014:i:c:p:19-27

DOI: 10.1016/j.matcom.2013.04.014

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