spencerbertsch1/numerical_methods

Collection of numerical methods programs relating to systems of differential equations found in an applied physics context.

Numerical_Methods

This repository contains a collection of numerical methods programs relating to systems of differential equations found in an applied physics context. Examples of system being solved: a Lorentz Attractor, a chaotic double pendulum, chaotic fractals dynamics including Poincare Maps, the Van Der Pol equation, and a model of an electron fired at a preset velocity into perpendicular electric and magnetic fields.

Each of the above systems has an associated set of differential equations that can be solved using an integration scheme such as the Euler method, the Heun method, 4th Order Rungga Kutta, etc. The files found in this repository present solutions to the systems of equations and visual results of their output.

All of the code in this repository is in Matlab and was written in Spring 2017.

Projects

• Differential Equation System: Van Der Pol Equation

  • Van Der Pol Equation

• Differential Equation System: Lorentz Atractor

  • Lorentz Attractor

• Differential Equation System: Chaotic Double Pendulum

  • Double Pendulum

• Differential Equation System: Charged Particle fired at velocity V into perpendicular electric and magnetic field

  • EM Field Theory