Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8902647 | Applied Numerical Mathematics | 2018 | 27 Pages |
Abstract
For solving a Fredholm integral equation of the second kind, we approximate its kernel by two types of bivariate spline quasi-interpolants, namely the tensor product and the continuous blending sum of univariate spline quasi-interpolants. We give the construction of the approximate solutions, and we prove some theoretical results related to the approximation errors of these methods. We illustrate the obtained results by some numerical tests giving a comparison with several methods in the literature.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
D. Barrera, F. Elmokhtari, D. Sbibih,