Numerical Computation of Spectral Solutions for Sturm-Liouville Eigenvalue Problems
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Published:2023-08-09
Issue:
Volume:21
Page:86
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ISSN:2291-8639
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Container-title:International Journal of Analysis and Applications
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language:
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Short-container-title:Int. J. Anal. Appl.
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 efficiency of computations.
Publisher
SCIK Publishing Corporation
Subject
Applied Mathematics,Geometry and Topology,Business and International Management,Analysis