如果對於 Differential Equation 完全沒概念, 建議先看以下兩分鐘的影片

https://www.youtube.com/watch?v=6cBBBMJZCv4

主要筆記了 Prof. Jeffrey Chasnov 在 Coursera 的兩門課針對 numerical solution 解 ODE 的內容:

1. Differential Equations for Engineers
2. Numerical Methods for Engineers

本文介紹:

1. Euler Method
2. Modified Euler Method
3. Runge Kutta Methods
4. Higher-order Runge-Kutta Methods
5. Higher-order ODEs and Systems

👏 那兩門課的講義教授很佛心得都有附上:

Lecture notes: Differential Equations for Engineers

Lecture notes: Numerical Methods for Engineers

1️⃣ Introduction to differential equations | Lecture 1 | Differential Equations for Engineers