Fourier Transforms in Partial Differential Equations @FacultyofKhan
Fourier Transforms in Partial Differential Equations  @FacultyofKhan
Uploaded September 2022 | Updated September 2026, 2 weeks ago
After a 6-month hiatus (sorry guys, I've been rather busy with residency of late), I'm finally back with a video: this time, I talk about using Fourier Transforms to solve PDEs, particularly those with an infinite spatial domain. Here are some relevant timestamps:
a. Intro: 0:00
b. Solved Problem: 8:36

Questions? Let me know in the comments!

PDE Playlist (you'll find the Laplace transform video here): youtube.com/playlist?list=PLdgVBOaXkb9Ab7UM8sCfQWgdbzxkXTNVD
Convolution Video: youtube.com/watch?v=N-zd-T17uiE
Green's Function Video: youtu.be/xNqLZnM-PPY

Lecture Notes: drive.google.com/file/d/1C-Ja9QFHKr51EZMWcwjG3ETVjIrVF15J/view?usp=sharing
Patreon: patreon.com/user?u=4354534
Twitter: twitter.com/FacultyOfKhan

Special thanks to my Patrons:
Patapom
Alec Dinerstein
Eugene Bulkin
Kelvin Xie
Andy Johnston
Ike J.
K2c2321
Danielle Shin
Thomas Rossiter
Lina Stritt
Fourier Transforms in Partial Differential EquationsThe Principle of Stationary ActionDynamical Systems on a Circle | Nonlinear DynamicsHow to Transform Spacetime Diagrams | Special RelativityIntroducing Convolutions: Intuition + Convolution TheoremTime Dilation in Special Relativity: Derivation + ExampleIntroduction to Partial Differential Equations: Definitions/TerminologyFree Particle Solution to the Schrodinger Equation | Quantum MechanicsIntroduction to Heat TransferWhy Gravity is Spacetime Curvature: Introducing General RelativityThe Gamma Function, its Properties, and Application to Bessel FunctionsDeriving Time Dilation and Length Contraction from the Invariant interval | Special Relativity
Faculty of Khan |

Fourier Transforms in Partial Differential Equations

SHARE TO X SHARE TO REDDIT SHARE TO FACEBOOK WALLPAPER