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

Authors:
C. Allouch;P. Sablonnière
Affiliations:
-;-
Venue:
Mathematics and Computers in Simulation
Year:
2014

Citing 4
Cited 0

Iteration methods for Fredholm integral equations of the second kind

Computers & Mathematics with Applications
Product integration methods based on discrete spline quasi-interpolants and application to weakly singular integral equations

Journal of Computational and Applied Mathematics
Solving Fredholm integral equations by approximating kernels by spline quasi-interpolants

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

Mathematics and Computers in Simulation

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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.