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Collocation solutions of a weakly singular Volterra integral equation. (English) Zbl 1208.65184

Summary: The discrete superconvergence properties of spline collocation solutions for a certain Volterra integral equation with weakly singular kernel are analyzed. In particular, the attainable convergence orders at the collocation points are examined for certain choices of the collocation parameters.

MSC:

65R20 Numerical methods for integral equations
45E05 Integral equations with kernels of Cauchy type
45D05 Volterra integral equations
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