International Journal of Mathematics and Mathematical Sciences (Jan 1987)
Two new finite difference methods for computing eigenvalues of a fourth order linear boundary value problem
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.
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