A Comparative Study of Some Methods Based On Non – Polynomial Interpolant

The  paper  presents  a comparative  study of some numerical methods  based on non-polynomial of great interest  are the pioneer work of Lambert and Shaw (1965),Ibijola (1998),and Fatunla (1976).The class of formulae for the numerical solution of equation of the form..............

On non-standard finite difference schemes for initial value problems in ordinary differential equations

In this paper, we present the theory of non-standard finite difference schemes which can be used to solve some initial value problems in ordinary differential equations. Methods of construction and mode of implementation of these methods are also discussed. We also examine the stability properties of the constructed schemes