International Journal of Mathematics and Mathematical Sciences
Volume 9 (1986), Issue 1, Pages 137-143

Finite difference methods for computing eigenvalues of fourth order boundary value problems

Riaz A. Usmani

Department of Applied Mathematics, University of Manitoba, Winnipeg R3T 2N2, Manitoba, Canada

Received 7 September 1984

Copyright © 1986 Riaz A. Usmani. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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)=(δ416δ6+7240δ8)yi.Numerical results are included to demonstrate practical usefulness of our methods.