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

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

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Abstract

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.

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Acknowledgements

The author is very grateful to Professor Giuseppe Mastroianni for his useful remarks and interesting discussions on the topic.

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Correspondence to Carmelina Frammartino .

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Dedicated to Professor Gradimir V. Milovanović on his 60-th birthday

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Frammartino, C. (2010). A Nyström Method for Solving a Boundary Value Problem on [0, ∞). In: Gautschi, W., Mastroianni, G., Rassias, T. (eds) Approximation and Computation. Springer Optimization and Its Applications, vol 42. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6594-3_20

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