Generalized Hybrid Block Method for Solving Second Order Ordinary Differential Equations Directly

In this article, three steps block method with three generalised hybrid points is developed for the solution of second order initial value problems of ordinary differential equations. The derivation of this method is achieved through interpolation and collocation technique where power series approximate solution is employed as the basis function. In comparing the new method with existing methods, specific hybrid points are selected for solving some second order initial value problems. The results generated outperform the existing methods in terms of error.