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

Authors:
C. Allouch;P. Sablonnière;D. Sbibih
Affiliations:
Département de Mathématiques et Informatique, Faculté des Sciences, Oujda, Morocco;INSA de Rennes, Centre de Mathématiques, Rennes, France;Département de Mathématiques et Informatique, Faculté des Sciences, Oujda, Morocco
Venue:
Mathematics and Computers in Simulation
Year:
2011

Citing 1
Cited 1

Product integration methods based on discrete spline quasi-interpolants and application to weakly singular integral equations

Journal of Computational and Applied Mathematics

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

Mathematics and Computers in Simulation

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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.