Approximations of Sturm-Liouville eigenvalues using boundary value methods

摘要: Abstract It is well known that the algebraic approximations to eigenvalues of a Sturm-Liouville problem by central difference and Numerov's schemes provide only few estimates restricted first element eigenvalue sequence. A correction technique, used Paine et al. (1981) for scheme then Andrew (1985) method, improves results, giving acceptable larger number eigenvalues. In this paper some linear multistep methods, called Boundary Value Methods, are proposed discretizing technique Andrew-Paine extended these new methods.