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A Spline Collocation Method for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels |
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| Authors: | H. Brunner A. Pedas G. Vainikko |
| Affiliation: | (1) Department of Mathematics & Statistics, Memorial University of Newfoundland, St. John's, Nfld., Canada, A1C 5S7;(2) Department of Applied Mathematics, University of Tartu, Liivi 2, Tartu, 50409, Estonia;(3) Institute of Mathematics, Helsinki University of Technology, P.O. Box 1100, FIN-02015 HUT, Finland |
| Abstract: | The piecewise polynomial collocation method is discussed to solve linear Volterra integro-differential equations with weakly singular or other nonsmooth kernels. Using special graded grids, global convergence estimates are derived. The error analysis is based on certain regularity properties of the solution of the initial value problem.This revised version was published online in October 2005 with corrections to the Cover Date. |
| Keywords: | Volterra integro-differential equation weakly singular kernel piecewise polynomial collocation method graded grid attainable order of convergence |
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