Five Points Mono Hybrid Point Linear Multistep Method for Solving Nth Order Ordinary Differential Equations Using Power Series Function

In this paper, a class of five point’s mono hybrid linear multistep method for solving nth order ordinary differential equations has been developed. In the derivation, Power series approximation was used as basic function due to its accuracy and simplicity. Collocation and Interpolation was adopted to generate the system of equations which was solved for the unknown parameters in the approximation solution of the problem. The derived schemes were implemented both in block and Pc method of the same order of accuracy. The schemes were tested on some numerical test problem ranging from linear to non-linear and problem from ship dynamics. The results show that block method performs better in term of accuracy. The basic properties of the methods show that they are zero stable, consistence and convergence.