FINITE DIFFERENCE METHODS FOR COMPUTING EIGENVALUES OF FOURTH ORDER BOUNDARY VALUE PROBLEMS

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)- λq(x))y =0. These methods are derived from the formula h^4y_1^(4) (δ^4 -1/6 δ^6+7/2...

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Vydáno v:	International Journal of Mathematics and Mathematical Sciences Ročník 1986; číslo 1; s. 137 - 143
Hlavní autor:	Usmani, Riaz A.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Hindawi Limiteds 1986 Wiley
Témata:	central difference formula finite difference methods generalized symmetric eigenvalue problem positive definite matrix two-point boundary value problem Two-point boundary value problem Central difference formula Generalized symmetric eigenvalue problem Positive definite matrix Finite difference methods
ISSN:	0161-1712, 1687-0425
On-line přístup:	Získat plný text
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Popis
Shrnutí:	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)- λq(x))y =0. These methods are derived from the formula h^4y_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.
Bibliografie:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0161-1712 1687-0425
DOI:	10.1155/S0161171286000170