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Article Dans Une Revue Numerical Algorithms Année : 2013

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

Chafik Allouch
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Driss Sbibih
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  • PersonId : 833587

Résumé

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.

Dates et versions

hal-00847719 , version 1 (24-07-2013)

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Citer

Chafik Allouch, Paul Sablonnière, Driss Sbibih. A collocation method for the numerical solution of a two dimensional integral equation using a quadratic spline quasi-interpolant. Numerical Algorithms, 2013, 62 (3), pp.445-468. ⟨10.1007/s11075-012-9598-2⟩. ⟨hal-00847719⟩
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