Derivation of New Non-Standard Finite Difference Schemes for Non-autonomous Ordinary Differential equation

Abstract

In this paper we derive Non-standard finite difference schemes for the solution of some IVPs emanating from non-autonomous Ordinary Differential Equation. A new technique based on the method of Non–local approximation and renormalization of the denominator function was employed. Numerical experiments were used to verify the reliability of the new Finite Difference schemes proposed for the IVPs and the results obtained shows that the schemes are computationally reliable.