A new Numerical Integrator for the Solution of Problems Arising from Some Dynamical Systems

Abstract

In this paper, we developed a new Numerical Integrator for solving oscillatory and exponential problems that can be represented by  Ordinary Differential Equation. This integrator was applied in solving some physical problems including the dynamic and aerospace routing problem. The results obtained showed that the numerical integrator is suitable for the simulation of these  problems.

KEYWORDS: Dynamic Aerospace problem, Numerical  Integrator, Algorithms, Oscillatory and Exponential problems. Dynamical systems.