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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Veröffentlicht in:International Journal of Mathematics and Mathematical Sciences Jg. 1987; H. 3; S. 525 - 529
Hauptverfasser: Usmani, Riaz A., Sakai, Manabu
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Hindawi Limiteds 1987
Wiley
Schlagworte:
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-Zugang:Volltext
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Zusammenfassung: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.
Bibliographie:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171287000620