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 formulah4y1(4)=(δ4−16δ6+7240δ8−…)yi.Num...

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Bibliographic Details
Main Author: Riaz A. Usmani
Format: Article
Language:English
Published: Hindawi Limited 1986-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171286000170