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：
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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.
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页码：445 / 468
页数：23
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