Accurate solutions of fourth order SturmLiouville problems

Bilal Chanane

doi:10.1016/j.cam.2010.04.023

Accurate solutions of fourth order SturmLiouville problems

Bilal Chanane^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

27 Scopus citations

Abstract

Recently we introduced a new method which we call the Extended Sampling Method to compute the eigenvalues of second order SturmLiouville problems with eigenvalue dependent potential. We shall see in this paper how we use this method to compute the eigenvalues of fourth order SturmLiouville problems and present its practical use on a few examples.

Original language	English
Pages (from-to)	3064-3071
Number of pages	8
Journal	Journal of Computational and Applied Mathematics
Volume	234
Issue number	10
DOIs	https://doi.org/10.1016/j.cam.2010.04.023
State	Published - 15 Sep 2010

Keywords

Eigenvalue problems
Extended Sampling Method
Fourth order SturmLiouville problems
Regularized Sampling Method

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.cam.2010.04.023

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title = "Accurate solutions of fourth order SturmLiouville problems",

abstract = "Recently we introduced a new method which we call the Extended Sampling Method to compute the eigenvalues of second order SturmLiouville problems with eigenvalue dependent potential. We shall see in this paper how we use this method to compute the eigenvalues of fourth order SturmLiouville problems and present its practical use on a few examples.",

keywords = "Eigenvalue problems, Extended Sampling Method, Fourth order SturmLiouville problems, Regularized Sampling Method",

author = "Bilal Chanane",

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N2 - Recently we introduced a new method which we call the Extended Sampling Method to compute the eigenvalues of second order SturmLiouville problems with eigenvalue dependent potential. We shall see in this paper how we use this method to compute the eigenvalues of fourth order SturmLiouville problems and present its practical use on a few examples.

AB - Recently we introduced a new method which we call the Extended Sampling Method to compute the eigenvalues of second order SturmLiouville problems with eigenvalue dependent potential. We shall see in this paper how we use this method to compute the eigenvalues of fourth order SturmLiouville problems and present its practical use on a few examples.

KW - Eigenvalue problems

KW - Extended Sampling Method

KW - Fourth order SturmLiouville problems

KW - Regularized Sampling Method

UR - https://www.scopus.com/pages/publications/77955275577

U2 - 10.1016/j.cam.2010.04.023

DO - 10.1016/j.cam.2010.04.023

M3 - Article

AN - SCOPUS:77955275577

SN - 0377-0427

VL - 234

SP - 3064

EP - 3071

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 10

ER -

Accurate solutions of fourth order SturmLiouville problems

Abstract

Keywords

ASJC Scopus subject areas

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