TITLE:
On Trigonometric Numerical Integrator for Solving First Order Ordinary Differential Equation
AUTHORS:
A. A. Obayomi, S. O. Ayinde, O. M. Ogunmiloro
KEYWORDS:
Numerical Integrator, Ordinary Differential Equation, Initial Value Problems, Stability Analysis, Nonstandard Methods, Interpolation Methods
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.11,
November
5,
2019
ABSTRACT: 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.