Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1140566 | Mathematics and Computers in Simulation | 2011 | 9 Pages |
Abstract
A discrete method of accuracy O(hm) is constructed to solve the integral equation eigenvalue problem λÏ(x)=â«â11K(x,y)Ï(y)dy, where K(x, y) = log|x â y| or K(x, y) = |x â y|âα, 0 < α < 1, Ï(x) being the eigenfunction associated with the eigenvalue λ. The method is based first on improving the boundary behavior of the exact solution Ï(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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Authors
P. Sablonnière, D. Sbibih, M. Tahrichi,