Finite difference methods for computing eigenvalues of fourth order boundary value problems

Riaz A. Usmani

International Journal of Mathematics and Mathematical Sciences, 1986, vol. 9, 1-7

Abstract:

This brief report describes some new finite difference methods of order 2 and 4 for computing eigenvalues of a two point boundary value problem associated with a fourth order linear differential equation y ( 4 ) + ( p ( x ) − λ q ( x ) ) y = 0 . These methods are derived from the formula h 4 y 1 ( 4 ) = ( δ 4 − 1 6 δ 6 + 7 240 δ 8 − … ) y i . Numerical results are included to demonstrate practical usefulness of our methods.

Date: 1986
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/9/608690.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/9/608690.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:608690

DOI: 10.1155/S0161171286000170

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().