TWO NEW FINITE DIFFERENCE METHODS FOR COMPUTING EIGENVALUES OF A FOURTH ORDER LINEAR BOUNDARY VALUE PROBLEM

This paper 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 differential equation of the form (py＂)＂+(q-λr)y=0. Numerical results for two typical eigenvalue problems are tabulated to demonstra...

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Bibliographic Details
Published in:	International Journal of Mathematics and Mathematical Sciences Vol. 1987; no. 3; pp. 525 - 529
Main Authors:	Usmani, Riaz A., Sakai, Manabu
Format:	Journal Article
Language:	English
Published:	Hindawi Limiteds 1987 Wiley
Subjects:	band-matrices finite-difference methods generalized eigenvalue problem positive definite matrices two-point boundary value problems Band-matrices finite-difference methods two-point boundary value problems positive definite matrices generalized eigenvalue problem
ISSN:	0161-1712, 1687-0425
Online Access:	Get full text
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Summary:	This paper 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 differential equation of the form (py＂)＂+(q-λr)y=0. Numerical results for two typical eigenvalue problems are tabulated to demonstrate practical usefulness of our methods.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0161-1712 1687-0425
DOI:	10.1155/S0161171287000620