Author(s)

A. A. Obayomi, S. O. Ayinde^*, O. M. Ogunmiloro

Department of Mathematics, Faculty of Science, Ekiti State University, Ado-Ekiti, Nigeria.

In this paper, we used an interpolation function with strong trigonometric components to derive a numerical integrator that can be used for solving first order initial value problems in ordinary differential equation. This numerical integrator has been tested for desirable qualities like stability, convergence and consistency. The discrete models have been used for a numerical experiment which makes us conclude that the schemes are suitable for the solution of first order ordinary differential equation.

Numerical Integrator, Ordinary Differential Equation, Initial Value Problems, Stability Analysis, Nonstandard Methods, Interpolation Methods

Obayomi, A. , Ayinde, S. and Ogunmiloro, O. (2019) On Trigonometric Numerical Integrator for Solving First Order Ordinary Differential Equation. Journal of Applied Mathematics and Physics, 7, 2564-2578. doi: 10.4236/jamp.2019.711175.