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Numerical comparison of sinc-collocation and Chebychev-collocation methods for determining the eigenvalues of Sturm–Liouville problems with parameter-dependent boundary conditions

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Abstract

In this paper, we will compare the performance of sinc-collocation method and the Chebychev-collocation method applied to determine the eigenvalues of Sturm–Liouville problems with parameter-dependent boundary conditions. The numerical results indicate that the chebychev method possesses a significant computational advantage over the sinc-collocation method.

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Acknowledgments

The author is extremely grateful to Eng. Mahmoud Abd El-Hady for programming the examples and to the referees for their helpful suggestions and comments.

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

    Mohamed El-Gamel

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  1. Mohamed El-Gamel
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Correspondence to Mohamed El-Gamel.

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El-Gamel, M. Numerical comparison of sinc-collocation and Chebychev-collocation methods for determining the eigenvalues of Sturm–Liouville problems with parameter-dependent boundary conditions. SeMA 66, 29–42 (2014). https://doi.org/10.1007/s40324-014-0022-9

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  • DOI: https://doi.org/10.1007/s40324-014-0022-9

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