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

作者：Allouch C^*; Sablonniere P

来源：Mathematics and Computers in Simulation, 2014, 99: 19-27.

DOI：10.1016/j.matcom.2013.04.014

• Quasi-interpolants
• Splines
• Iteration
• Equation integral

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.

• 出版日期2014-5