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 |