NUMERICAL METHODS FOR APPROXIMATING EIGENVALUES OF BOUNDARY VALUE PROBLEMS

This paper describes some new finite difference methods for the approximation of eigenvalues of a two point boundary value problem associated with a fourth order linear differential equation of the type (py＂)＂- (q y')' + (r - λs)y =0. The smallest positive eigenvalue of some typical eigens...

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Bibliographic Details
Published in:	International Journal of Mathematics and Mathematical Sciences Vol. 1986; no. 3; pp. 567 - 575
Main Authors:	Usmani, Kiaz A., Isa, Mohammad
Format:	Journal Article
Language:	English
Published:	Hindawi Limiteds 1986 Wiley
Subjects:	band matrices deflation finite-difference methods generalized matrix eigenvalue problem inverse power iteration the smallest eigenvalue of a matrix eigenvalue problem two-point boundary value problems The Smallest eigenvalue of a matrix eigenvalue problem Finite-dlfference methods Two-point boundary value problems Generalized matrix eigenvalue problem Inverse power iteration Band matrices, Deflation
ISSN:	0161-1712, 1687-0425
Online Access:	Get full text
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Summary:	This paper describes some new finite difference methods for the approximation of eigenvalues of a two point boundary value problem associated with a fourth order linear differential equation of the type (py＂)＂- (q y')' + (r - λs)y =0. The smallest positive eigenvalue of some typical eigensystems is computed to demonstrate the practical usefulness of the numerical techniques developed.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0161-1712 1687-0425
DOI:	10.1155/S0161171286000716