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Computing High-Index Eigenvalues of Singular Sturm–Liouville Problems

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Abstract

This paper deals with the computation of the high-index eigenvalues of singular Sturm–Liouville problems using the Chebyshev spectral collocation method. The singular Sturm–Liouville problem is transformed into generalized eigenvalue problem by using the spectral differentiation matrices to compute derivatives of Chebyshev polynomials at Chebyshev Gauss–Lobatto nodes. A few different examples shall be solved numerically to demonstrate reliability and efficiency of the proposed technique.

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  1. Department of Mathematics, University of Aden, P.O. Box 6312, Khormaksar, Aden, Yemen

    Anis Haytham Saleh Taher

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  1. Anis Haytham Saleh Taher
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Taher, A.H.S. Computing High-Index Eigenvalues of Singular Sturm–Liouville Problems. Int. J. Appl. Comput. Math 5, 45 (2019). https://doi.org/10.1007/s40819-019-0629-8

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