Continuous Hybrid Block Stomer Cowell Methods for Solutions of Second Order Ordinary Differential Equations

Abstract

In this paper, we present continuous hybrid stomer cowell methods. Using the method of collocation and interpolation of power series approximate solution to derive a continuous linear multistep method. Block method was later used to generate the non overlapping solutions at selected grid points. The method developed, is consistent, zero-stable and convergent. The performance of the new block method was tested with some second order initial value problems and it was found to compare favourably with the existing methods.