A Nyström method for a class of Fredholm integral equations of the third kind on unbounded domains |
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Authors: | Luisa Fermo |
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Institution: | aDepartment of Mathematics and Computer Science, University of Basilicata, v.le dell'Ateneo Lucano 10, 85100 Potenza, Italy |
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Abstract: | The author proposes a numerical procedure in order to approximate the solution of a class of Fredholm integral equations of the third kind on unbounded domains. The given equation is transformed in a Fredholm integral equation of the second kind. Hence, according to the integration interval, the equation is regularized by means of a suitable one-to-one map or is transformed in a system of two Fredholm integral equations that are subsequently regularized. In both cases a Nyström method is applied, the convergence and the stability of which are proved in spaces of weighted continuous functions. Error estimates and numerical tests are also included. |
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Keywords: | Fredholm integral equations Nyströ m method |
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