Numerical treatment of boundary value problems by solving a system of second kind Fredholm integral equations

Authors:
Carmelina Frammartino
Affiliations:
Department of Mathematics and Computer Science, University of Basilicata, Potenza, Italy 85100
Venue:
Calcolo: a quarterly on numerical analysis and theory of computation
Year:
2013

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Abstract

A Nyström method is proposed for solving systems of Fredholm integral equations equivalent to special boundary value problems of order 2s . The stability and the convergence of the proposed procedure is proved. The GMRes method is applied to solve the involved systems of linear equations. Some numerical examples are provided in order to illustrate the accuracy of the method.