full
search.png

Search

close.png

Cancel

arrow
Volume 18, Issue 1
Weakly Regular Sturm-Liouville Problems: A Corrected Spectral Matrix Method

Cecilia Magherini

Int. J. Numer. Anal. Mod., 18 (2021), pp. 62-78.

Published online: 2021-02

Preview Full PDF 1598 19448

Cited by

google scholar semantic scholar
Export citation
  • Abstract

In this paper, we consider weakly regular Sturm-Liouville eigenproblems with unbounded potential at both endpoints of the domain. We propose a Galerkin spectral matrix method for its solution and we study the error in the eigenvalue approximations it provides. The result of the convergence analysis is then used to derive a low-cost and very effective formula for the computation of corrected numerical eigenvalues. Finally, we present and discuss the results of several numerical experiments which confirm the validity of the approach.

  • Keywords

Sturm-Liouville eigenproblems, spectral matrix methods, Legendre polynomials, acceleration of convergence.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{IJNAM-18-62, author = {Magherini , Cecilia}, title = {Weakly Regular Sturm-Liouville Problems: A Corrected Spectral Matrix Method}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2021}, volume = {18}, number = {1}, pages = {62--78}, abstract = {

In this paper, we consider weakly regular Sturm-Liouville eigenproblems with unbounded potential at both endpoints of the domain. We propose a Galerkin spectral matrix method for its solution and we study the error in the eigenvalue approximations it provides. The result of the convergence analysis is then used to derive a low-cost and very effective formula for the computation of corrected numerical eigenvalues. Finally, we present and discuss the results of several numerical experiments which confirm the validity of the approach.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/18621.html} }
TY - JOUR T1 - Weakly Regular Sturm-Liouville Problems: A Corrected Spectral Matrix Method AU - Magherini , Cecilia JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 62 EP - 78 PY - 2021 DA - 2021/02 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/18621.html KW - Sturm-Liouville eigenproblems, spectral matrix methods, Legendre polynomials, acceleration of convergence. AB -

In this paper, we consider weakly regular Sturm-Liouville eigenproblems with unbounded potential at both endpoints of the domain. We propose a Galerkin spectral matrix method for its solution and we study the error in the eigenvalue approximations it provides. The result of the convergence analysis is then used to derive a low-cost and very effective formula for the computation of corrected numerical eigenvalues. Finally, we present and discuss the results of several numerical experiments which confirm the validity of the approach.

Cecilia Magherini. (2021). Weakly Regular Sturm-Liouville Problems: A Corrected Spectral Matrix Method. International Journal of Numerical Analysis and Modeling. 18 (1). 62-78. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard