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arXiv · 2305.04176

Numerical computation of spectral solutions for Sturm-Liouville eigenvalue problems

Sameh Gana
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Abstract

This paper focuses on the study of Sturm-Liouville eigenvalue problems. In the classical Chebyshev collocation method, the Sturm-Liouville problem is discretized to a generalized eigenvalue problem where the functions represent interpolants in suitably rescaled Chebyshev points. We are concerned with the computation of high-order eigenvalues of Sturm-Liouville problems using an effective method of discretization based on the Chebfun software algorithms with domain truncation. We solve some numerical Sturm-Liouville eigenvalue problems and demonstrate the computations' efficiency.

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Sameh Gana. 2023-05-07. Numerical computation of spectral solutions for Sturm-Liouville eigenvalue problems. https://arxiv.org/abs/2305.04176

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