Simulating & Graphing Solutions to Differential Equations

Contains a few simple Python notebooks for simulating and graphing solution trajectories of ordinary differential equations, as well as generating vector fields in 2D and 3D, and applications to pendulum physics. My first GitHub repo—there is admittedly old and quite naive code.

Contents

'1DSimulator.ipynb' Exponential differential equation, Euler's method, time series graphing
'2DVectorFields.ipynb' Competitive species model, 2D Euler's method, predator-prey model (Lotka-Volterra equations)
'3DSimulator.ipynb' Lorenz Attractor equations and solution trajectories, butterfly effect & chaos, 3D Euler's method,
'PendulumSimulator.ipynb' Pendulum as a 2D dynamical system, visual simulation of dampened pendulum