Numerical Solution of First Order Ordinary Differential Equations Using an Optimized TwoStep Block Hybrid Method

Abstract

A two-step block hybrid method was derived using a new set of interpolation
and collocation points which were carefully chosen to improve the performance
of the method. The continuous form of this method was evaluated at ,
and the first derivative at to give four discrete schemes which
constitute a block form. The order, consistency and convergence of the method
is discussed and its accuracy established numericall