Laplace's Equation of Electric Potential (Solved in Python)

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It turns out that a sequence of convolutions is the most efficient way to solve Laplace's equation in python. In this video I tackle a 3D problem: the potential between two (finite size) parallel plates.

Code:

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[Nickname]

Amazing stuff once again! Thanks for all the work you do. Your videos are great for refreshing my memory on the undergraduate physics course material while keeping me lured in with amazing tutorials on how to actually solve/model these problems in Python. I think we need more of this kind of teaching in universities! Everytime you post a video, I get this feeling that I have to watch it or I will be missing out.

[andresyesidmorenovilla]

Dude, this channel is totally underrated. Great work!!!

[_RTheBruce]

I remember this stuff from university from years ago. Needed a good refresher. This was better than perfect.

[pauljansen]

Great video tutorials! I wish your channel was around when I was doing my PhD, it would definitely have saved me a lot of time. Also nice setup at the end of your video for introducing multi grid methods, are you planning a short follow-up on that?

[sinecurve]

Dirichlet (dir-i-klay)
Neumann (Noi-man)
Euler (oi-ler)

[mandyokpoji]

Well done son.

Reckon you should model photons spatial distribution when carrying orbital angular momentum (quadro and octopole atomic transitions and that)

[hsh]

I've been waiting for this!!
You rock!

[brauliops]

Nice video!!. How you calculate the electric field once you solve the potential?

[fufaev-alexander]

Thank you so much for this awesome Python content! 😍

[mingshey]

Truly amazing lesson this is, as are your other videos! I could learn this method and apply to the case of a field cage, as is used in time projection chambers.

[mikekertser]

Great Video, as always!
Could you please make a video of Navier-Stokes eqn. solution for some simple case with some turbulent flow algebraic approximation?
May be von-Karman sheets for 2D case?

[zaid]

will you do tutorials in different coordinate systems? for instance we may want to solve for prescribed potentials on spherical surfaces?

[er_lee]

Amazing work! Thanks a lot. You deserve much more subscribers.

[scoot_tv]

You should do a strong field approximation vid

[김현우-ec]

Dude you gave me the inspiration thanks!

[javierguallart]

It would be really helpful if you add chapters to the video

[lionelmartinez]

Could you make a video explaining how to graph the electric field?How is the gradient of a matrix calculated? Thank

[adamtaylor]

I had to have one of my students in a graduate class tell me it was dee·ruhsh·lay (Dirichlet).

[monkeyofwar]

Oh shit we upgraded to 4k quality, nice

[perjohankasper]

always great, shortminded as i am cam i find the notes on github?