A modified Kulkarni's method based on a discrete spline quasi-interpolant

C. Allouch, P. Sablonnière and D. Sbibih

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 81, issue 10, 1991-2000

Abstract: We use a discrete spline quasi-interpolant (abbr. dQI) defined on a bounded interval for the numerical solution of linear Fredholm integral equations of the second kind with a smooth kernel by collocation and a modified Kulkarni's method together with its Sloan's iterated version. We study the approximation errors of these methods and we illustrate the theoretical results by a numerical example.

Keywords: Integral equation; Quasi-interpolation; Collocation (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:81:y:2011:i:10:p:1991-2000

DOI: 10.1016/j.matcom.2010.12.017

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