A New Approach for Linear Eigenvalue Problems and Nonlinear Euler Buckling Problem. (5th June 2012)

• Record Type: Journal Article
• Authors: Adiyaman Adiyaman, Meltem Evrenosoglu Meltem Evrenosoglu; Somali Somali, Sennur Sennur
• Other Names: Ashyralyev Ashyralyev Allaberen Allaberen Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-06-05
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/697013
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : 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.