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Novel efficient collocation method for Sturm–Liouville problems with nonlocal integral boundary conditions

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Abstract

This paper presents a study of the performance of the collocation methods using sinc and Bernstein bases functions to determine the eigenvalues of Sturm–Liouville problems with nonlocal boundary conditions. The two methods have the linear systems solved by the Q-Z method. This study shows that Bernstein-collocation method performs better than the sinc-collocation method for the cases considered.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Mansoura, Egypt

    Mohamed El-Gamel & Mahmoud Abd El-Hady

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  1. Mohamed El-Gamel
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  2. Mahmoud Abd El-Hady
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Correspondence to Mohamed El-Gamel.

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El-Gamel, M., El-Hady, M.A. Novel efficient collocation method for Sturm–Liouville problems with nonlocal integral boundary conditions. SeMA 77, 375–388 (2020). https://doi.org/10.1007/s40324-020-00220-3

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  • DOI: https://doi.org/10.1007/s40324-020-00220-3

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