International Journal of Mathematics and Mathematical Sciences
Volume 10 (1987), Issue 3, Pages 525-530
doi:10.1155/S0161171287000620
Two new finite difference methods for computing eigenvalues of a fourth order linear boundary value problem
Riaz A. Usmani1
and Manabu Sakai2
1Department of Applied Mathematics, University of Manitoba, Winnipeg R3T 2N2, Manitoba, Canada
2Department of Mathematics, University of Kagoshima, Kagoshima 890, Japan
Abstract
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.