A collocation method for the numerical solution of a two dimensional integral equation using a quadratic spline quasi-interpolant

被引：0

作者：

Chafik Allouch

Paul Sablonnière

Driss Sbibih

机构：

[1] Université Mohammed I,ESTO, Laboratoire MATSI, Equipe ANTI

[2] Centre de Mathématiques,URAC05

来源：

Numerical Algorithms | 2013年 / 62卷

关键词：

Collocation; Integral equations; Spline quasi-interpolant;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we propose an interesting method for approximating the solution of a two dimensional second kind equation with a smooth kernel using a bivariate quadratic spline quasi-interpolant (abbr. QI) defined on a uniform criss-cross triangulation of a bounded rectangle. We study the approximation errors of this method together with its Sloan’s iterated version and we illustrate the theoretical results by some numerical examples.

引用

页码：445 / 468

页数：23

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