Numerical Computation of Spectral Solutions for Sturm-Liouville Eigenvalue Problems

Gana, Sameh

doi:10.28924/2291-8639-21-2023-86

Research Article

Numerical Computation of Spectral Solutions for Sturm-Liouville Eigenvalue Problems

Sameh Gana¹

a:1:{s:5:"en_US";s:38:"Imam Abdulrahman Bin Faisal University";}

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.

How to Cite

S. Gana, Numerical Computation of Spectral Solutions for Sturm-Liouville Eigenvalue Problems, Int. J. Anal. Appl. 21 (2023), 86. https://doi.org/10.28924/2291-8639-21-2023-86

BibTeX

@article{Gana2023,
  author  = {Gana, Sameh},
  title   = {Numerical Computation of Spectral Solutions for Sturm-Liouville Eigenvalue Problems},
  journal = {Int. J. Anal. Appl.},
  volume  = {21},
  year    = {2023},
  pages   = {86},
  doi     = {10.28924/2291-8639-21-2023-86}
}

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