Two-Step Hybrid Block Method for Solving First Order Ordinary Differential Equations Using Power Series Approach

In this paper, we consider the derivation of hybrid block method for the solution of general first order Initial Value Problem (IVP) in Ordinary Differential Equation. We adopted the method of Collocation and Interpolation using power series approximation to generate the continuous formula. The properties and features of the methods are analyzed and some numerical examples are also presented to illustrate the accuracy and effectiveness of the method.