Author(s)

R. B. Ogunrinde, T. E. Olaosebikan

Department of Mathematical Sciences, Ekiti State University, Ado Ekiti, Nigeria.

In this paper, we developed a new numerical scheme which aimed to solve some initial value problems of ordinary differential equations. The full breakdown of this new numerical scheme derivation is presented. While in our subsequent research, we shall fully examine the characteristics of the scheme such as consistency, convergence and stability. Also, the implementation of this new numerical scheme shall be worked-on and comparison shall also be made with some existing methods.

Numerical Scheme, Ordinary Differential Equation, Scheme Development

Ogunrinde, R. and Olaosebikan, T. (2016) Development of a Numerical Scheme. American Journal of Computational Mathematics, 6, 49-54. doi: 10.4236/ajcm.2016.61006.