A New Approach for Linear Eigenvalue Problems and Nonlinear Euler Buckling Problem

A New Approach for Linear Eigenvalue Problems and Nonlinear Euler Buckling Problem

We propose a numerical Taylor's Decomposition method to compute approximate eigenvalues and eigenfunctions for regular Sturm-Liouville eigenvalue problem and nonlinear Euler buckling problem very accurately for relatively large step sizes. For regular Sturm-Liouville problem, the technique is i...

Full description

Bibliographic Details
Main Authors: Meltem Evrenosoglu Adiyaman, Sennur Somali
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/697013
id doaj-e6b3b0d9146945239a951a90045076cf
record_format Article
spelling doaj-e6b3b0d9146945239a951a90045076cf2020-11-25T00:08:44ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/697013697013A New Approach for Linear Eigenvalue Problems and Nonlinear Euler Buckling ProblemMeltem Evrenosoglu Adiyaman0Sennur Somali1Department of Mathematics, Faculty of Science, Dokuz Eylul University, 35160 Tinaztepe, Buca, Izmir, TurkeyDepartment of Mathematics, Faculty of Science, Dokuz Eylul University, 35160 Tinaztepe, Buca, Izmir, TurkeyWe propose a numerical Taylor's Decomposition method to compute approximate eigenvalues and eigenfunctions for regular Sturm-Liouville eigenvalue problem and nonlinear Euler buckling problem very accurately for relatively large step sizes. For regular Sturm-Liouville problem, the technique is illustrated with three examples and the numerical results show that the approximate eigenvalues are obtained with high-order accuracy without using any correction, and they are compared with the results of other methods. The numerical results of Euler Buckling problem are compared with theoretical aspects, and it is seen that they agree with each other.http://dx.doi.org/10.1155/2012/697013
collection DOAJ
language English
format Article
sources DOAJ
author Meltem Evrenosoglu Adiyaman
Sennur Somali
spellingShingle Meltem Evrenosoglu Adiyaman
Sennur Somali
A New Approach for Linear Eigenvalue Problems and Nonlinear Euler Buckling Problem
Abstract and Applied Analysis
author_facet Meltem Evrenosoglu Adiyaman
Sennur Somali
author_sort Meltem Evrenosoglu Adiyaman
title A New Approach for Linear Eigenvalue Problems and Nonlinear Euler Buckling Problem
title_short A New Approach for Linear Eigenvalue Problems and Nonlinear Euler Buckling Problem
title_full A New Approach for Linear Eigenvalue Problems and Nonlinear Euler Buckling Problem
title_fullStr A New Approach for Linear Eigenvalue Problems and Nonlinear Euler Buckling Problem
title_full_unstemmed A New Approach for Linear Eigenvalue Problems and Nonlinear Euler Buckling Problem
title_sort new approach for linear eigenvalue problems and nonlinear euler buckling problem
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description We propose a numerical Taylor's Decomposition method to compute approximate eigenvalues and eigenfunctions for regular Sturm-Liouville eigenvalue problem and nonlinear Euler buckling problem very accurately for relatively large step sizes. For regular Sturm-Liouville problem, the technique is illustrated with three examples and the numerical results show that the approximate eigenvalues are obtained with high-order accuracy without using any correction, and they are compared with the results of other methods. The numerical results of Euler Buckling problem are compared with theoretical aspects, and it is seen that they agree with each other.
url http://dx.doi.org/10.1155/2012/697013
work_keys_str_mv AT meltemevrenosogluadiyaman anewapproachforlineareigenvalueproblemsandnonlineareulerbucklingproblem
AT sennursomali anewapproachforlineareigenvalueproblemsandnonlineareulerbucklingproblem
AT meltemevrenosogluadiyaman newapproachforlineareigenvalueproblemsandnonlineareulerbucklingproblem
AT sennursomali newapproachforlineareigenvalueproblemsandnonlineareulerbucklingproblem
_version_ 1725414901433761792

Similar Items