8. Ordinary Differential Equations (ODEs)

In this exercise we will look at how to solve ordinary differential equations (ODEs) numerically. We will cover the following topics:

1. Introduction to ODEs

2. Understanding Ordinary Differential Equations - Direction Fields

3. Introduction to Numerically solving Ordinary Differential Equations - Euler Method

4. Stability and Stiffness of Numerical Methods

5. Higher Order Methods to solve ODEs

This exerxise is based on the follwing sources: https://kyleniemeyer.github.io/ME373-book/content/intro.html. This is only a short introduction on how to solve ODEs using numerical methods. If you want to learn more about ODEs, you can take a look here: http://faculty.washington.edu/sbrunton/me564/ This is a complete lecture with accompanying youtube videos (https://www.youtube.com/playlist?list=PLMrJAkhIeNNTYaOnVI3QpH7jgULnAmvPA) on ODEs and numerical methods to solve them.