Continuous Hybrid Methods for Direct Solution of General Second Order Differential Equations

In this study, a two-step zero stable hybrid Numerov type method is developed for direct solution of general ordinary differential equations of the form The method based on predictor-corrector approach, is consistent and zero-stable. Efforts are made to develop a predictor having the same order as that of the corrector, thereby reducing the consequential effects of the predictor on the accuracy of the method. The accuracy of the method is tested with linear and non-linear problems.