Spline collocation method for integro-differential equations with weakly singular kernels
نویسندگان
چکیده
In the first part of this paper we study the regularity properties of solutions to initial or boundary-value problems of Fredholm integro-differential equationswithweakly 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. © 2006 Elsevier B.V. All rights reserved. MSC: 65R20; 45J05
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