Numerical methods for Fredholm integral equations on the square |
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| Authors: | Donatella Occorsio Maria Grazia Russo |
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| Affiliation: | Department of Mathematics and Computer Science, University of Basilicata, V.le dell’Ateneo Lucano 10, 85100 Potenza, Italy |
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| Abstract: | In this paper we shall investigate the numerical solution of two-dimensional Fredholm integral equations by Nyström and collocation methods based on the zeros of Jacobi orthogonal polynomials. The convergence, stability and well conditioning of the method are proved in suitable weighted spaces of functions. Some numerical examples illustrate the efficiency of the methods. |
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| Keywords: | Fredholm integral equations Projection methods Nyströ m method |
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