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Article Dans Une Revue Mathematics and Computers in Simulation Année : 2011

Product quasi-interpolation method for weakly singular integral equation eigenvalue problem

Driss Sbibih
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M. Tahrichi
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Résumé

A discrete method of accuracy O(hm) is constructed to solve the integral equation eigenvalue problem View the MathML source where K(x, y) = log|x − y| or K(x, y) = |x − y|−α, 0 < α < 1, ϕ(x) being the eigenfunction associated with the eigenvalue λ. The method is based first on improving the boundary behavior of the exact solution ϕ(x) with the help of a change of variables, and second on the product integration method based on a discrete spline quasi-interpolant (abbr. dQI) of order m.
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Dates et versions

hal-00705697 , version 1 (08-06-2012)

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  • HAL Id : hal-00705697 , version 1

Citer

Paul Sablonnière, Driss Sbibih, M. Tahrichi. Product quasi-interpolation method for weakly singular integral equation eigenvalue problem. Mathematics and Computers in Simulation, 2011, 81 (10), pp.2337-2345. ⟨hal-00705697⟩
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