Two and Three point Implicit Second Derivative Block Methods For Solving First Order Ordinary Di erential Equations

Abstract

In this research we developed implicit block methods which make used of the rst and second derivatives of the problems. The aim is to give a more accurate as well as faster numerical results for solving rst order ordinary di erential equations. The methods are then used to solve a set of rst order initial value problems. Numerical results clearly show that the new proposed methods performed better than other well-known exist- ing methods in solving the set of test problems.