Numerical computation of spectral solutions for Sturm-Liouville eigenvalue problems
Numerical Analysis
2023-05-09 v1 Numerical Analysis
Analysis of PDEs
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.
Cite
@article{arxiv.2305.04176,
title = {Numerical computation of spectral solutions for Sturm-Liouville eigenvalue problems},
author = {Sameh Gana},
journal= {arXiv preprint arXiv:2305.04176},
year = {2023}
}