Deferred correction for the ordinary differential equation eigenvalue problem

The deferred correction technique by Fox [6], Mayers [S], has been generalized and applied to the solution of differential equations, [7], •[9], and Fredholm integral equations of the second kind [7]. (See also [10].) In [2], [4], the author extended the technique to apply to integral equation eigenvalue problems. The aim of this paper is to extend the deferred correction technique to deal with ordinary differential equation eigenvalue problems. Only the small eigenvalues and the corresponding eigenfunctions are considered.