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The multi-projection method for weakly singular Fredholm integral equations of the second kind |
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| Abstract: | In this paper, we propose a multi-projection method and its re-iterated algorithm for solving weakly singular Fredholm integral equations of the second kind. We apply our methods to Petrov–Galerkin versions to establish excellent superconvergence results, and we illustrate our theoretical results with a numerical example. |
| Keywords: | super-convergence rates multi-projection methods singularity preserving Petrov–Galerkin methods integral equations |