Partial Differential Equations

This video playlist covers the topic of:

1. PDE 1 | Introduction

2.PDE 2 | Three fundamental examples

3.PDE 3 | Transport equation: derivation

4.PDE 4 | Transport equation: general solution

5. PDE 5 | Method of characteristics

6. PDE 6 | Transport with decay and nonlinear transport

7.PDE 7 | Wave equation: intuition

8.PDE 8 | Wave equation: derivation

9.PDE 9 | Wave equation: general solution

10.PDE 10 | Wave equation: d'Alembert's formula

11.PDE 11 | Wave equation: d'Alembert examples

12.PDE 12 | Wave equation: characteristics

13.PDE 13 | Wave equation: separation of variables

14.FA 1 | Fourier series introduction

15.FA 2 | Computing Fourier series

16.PDE | Heat equation: intuition

17.PDE | Finite differences: introduction