TITLE:
Stability Analysis of a Numerical Integrator for Solving First Order Ordinary Differential Equation
AUTHORS:
Samuel Olukayode Ayinde, Adesoji Abraham Obayomi, Funmilayo Sarah Adebayo
KEYWORDS:
Numerical Integrator, Autonomous and Non-Autonomous, Ordinary Differential Equation, Initial Value Problems, Stability Analysis
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.11,
November
16,
2017
ABSTRACT: In this paper, we used an interpolation function to derive a Numerical Integrator that can be used for solving first order Initial Value Problems in Ordinary Differential Equation. The numerical quality of the Integrator has been analyzed to authenticate the reliability of the new method. The numerical test showed that the finite difference methods developed possess the same monotonic properties with the analytic solution of the sampled Initial Value Problems.