A New Approach for Linear Eigenvalue Problems and Nonlinear Euler Buckling Problem
Joint Authors
Somali, Sennur
Adiyaman, Meltem Evrenosoglu
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-05
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Adiyaman, Meltem Evrenosoglu& Somali, Sennur. 2012. A New Approach for Linear Eigenvalue Problems and Nonlinear Euler Buckling Problem. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-491399
Modern Language Association (MLA)
Adiyaman, Meltem Evrenosoglu& Somali, Sennur. A New Approach for Linear Eigenvalue Problems and Nonlinear Euler Buckling Problem. Abstract and Applied Analysis No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-491399
American Medical Association (AMA)
Adiyaman, Meltem Evrenosoglu& Somali, Sennur. A New Approach for Linear Eigenvalue Problems and Nonlinear Euler Buckling Problem. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-491399
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-491399