Year: 2021
Author: Cecilia Magherini
International Journal of Numerical Analysis and Modeling, Vol. 18 (2021), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2021-IJNAM-18621
International Journal of Numerical Analysis and Modeling, Vol. 18 (2021), Iss. 1 : pp. 62–78
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Sturm-Liouville eigenproblems spectral matrix methods Legendre polynomials acceleration of convergence.