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

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.

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Year of publication:	2011
Authors:	Allouch, C. ; Sablonnière, P. ; Sbibih, D.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 81.2011, 10, p. 1991-2000
Publisher:	Elsevier
Subject:	Integral equation \| Quasi-interpolation \| Collocation

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

Persistent link: https://www.econbiz.de/10010748576