Article ID Journal Published Year Pages File Type
4643231 Journal of Computational and Applied Mathematics 2006 17 Pages PDF
Abstract

In the first part of this paper we study the regularity properties of solutions to initial or boundary-value problems of Fredholm integro-differential equations with weakly singular or other nonsmooth kernels. We then use these results in the analysis of a piecewise polynomial collocation method for solving such problems numerically. Presented numerical examples display that theoretical results are in good accordance with actual convergence rates of proposed algorithms.

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Physical Sciences and Engineering Mathematics Applied Mathematics
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