This research was a group project for my Ordinary Differential Equations class. I independently created a LaTeX file to provide an alternative format for viewing our presentation.

Abstract: This paper develop a safe delay-compensated control scheme for a linear ODE under nonlinear actuator dynamics. Rewriting the delay as a transport PDE, the overall system is represented as a ...

In this paper a new ODE numerical integration method was successfully applied to solving nonlinear equations. The method is of same simplicity as fixed point iteration, but the efficiency has been ...

Ordinary differential equations (ODEs) are a powerful tool for modeling dynamic processes with wide applications in a variety of scientific fields. Over the last two decades, ODEs have also emerged as ...

The Duffing equation describes the oscillations of a damped nonlinear oscillator [1]. Its non-linearity is confined to a one coordinate-dependent cubic term. Its applications describing a mechanical ...