Computation of the eigenpairs of two-parameter Sturm-Liouville problems using the regularized sampling method

B. Chanane; A. Boucherif

doi:10.1155/2014/695303

Computation of the eigenpairs of two-parameter Sturm-Liouville problems using the regularized sampling method

B. Chanane^*, A. Boucherif

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

This paper deals with the computation of the eigenvalues of two-parameter Sturm-Liouville (SL) problems using the Regularized Sampling Method, a method which has been effective in computing the eigenvalues of broad classes of SL problems (singular, non-self-adjoint, nonlocal, impulsive, etc.). We have shown, in this work that it can tackle two-parameter SL problems with equal ease. An example was provided to illustrate the effectiveness of the method.

Original language	English
Article number	695303
Journal	Abstract and Applied Analysis
Volume	2014
DOIs	https://doi.org/10.1155/2014/695303
State	Published - 2014

ASJC Scopus subject areas

Analysis
Applied Mathematics

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title = "Computation of the eigenpairs of two-parameter Sturm-Liouville problems using the regularized sampling method",

abstract = "This paper deals with the computation of the eigenvalues of two-parameter Sturm-Liouville (SL) problems using the Regularized Sampling Method, a method which has been effective in computing the eigenvalues of broad classes of SL problems (singular, non-self-adjoint, nonlocal, impulsive, etc.). We have shown, in this work that it can tackle two-parameter SL problems with equal ease. An example was provided to illustrate the effectiveness of the method.",

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AU - Boucherif, A.

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N2 - This paper deals with the computation of the eigenvalues of two-parameter Sturm-Liouville (SL) problems using the Regularized Sampling Method, a method which has been effective in computing the eigenvalues of broad classes of SL problems (singular, non-self-adjoint, nonlocal, impulsive, etc.). We have shown, in this work that it can tackle two-parameter SL problems with equal ease. An example was provided to illustrate the effectiveness of the method.

AB - This paper deals with the computation of the eigenvalues of two-parameter Sturm-Liouville (SL) problems using the Regularized Sampling Method, a method which has been effective in computing the eigenvalues of broad classes of SL problems (singular, non-self-adjoint, nonlocal, impulsive, etc.). We have shown, in this work that it can tackle two-parameter SL problems with equal ease. An example was provided to illustrate the effectiveness of the method.

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DO - 10.1155/2014/695303

M3 - Article

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SN - 1085-3375

VL - 2014

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

M1 - 695303

ER -

Computation of the eigenpairs of two-parameter Sturm-Liouville problems using the regularized sampling method

Abstract

ASJC Scopus subject areas

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