Numerical solution of Volterra integral equations with singularities. (English) Zbl 1273.65197
Summary: The numerical solution of linear Volterra integral equations of the second kind is discussed. The kernel of the integral equation may have weak diagonal and boundary singularities. Using suitable smoothing techniques and polynomial splines on mildly graded or uniform grids, the convergence behavior of the proposed algorithms is studied and a collection of numerical results is given.
Keywords:
boundary singularity; collocation method; smoothing transformation; Volterra integral equation; weakly singular kernelReferences:
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