A Nyström Method for Solving a Boundary Value Problem on [0, ∞)

Part of the Springer Optimization and Its Applications book series (SOIA, volume 42)


In this paper a Nyström method is proposed to solve Fredholm integral equations equivalent to second-order boundary value problems on the real semiaxis. Stability and convergence of the proposed procedure are proved. Some numerical examples are provided in order to illustrate the accuracy of the method.


Orthogonal Polynomial Fredholm Integral Equation Interpolation Process Orthonormal Polynomi Gaussian Quadrature Rule 
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The author is very grateful to Professor Giuseppe Mastroianni for his useful remarks and interesting discussions on the topic.


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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Mathematics and Computer ScienceUniversity of BasilicataPotenzaItaly

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