Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4643231 | Journal of Computational and Applied Mathematics | 2006 | 17 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Arvet Pedas, Enn Tamme,