Solving the heat equation | DE3

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3Blue1Brown

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Shared June 16, 2019

Boundary conditions, and setup for how Fourier series are useful.
Home page: https://www.3blue1brown.com
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More about the heat equation, with a derivation in terms of slope corresponding to heat flow from MIT OCW:
https://ocw.mit.edu/courses/mathemati...

If you want to learn more about Fourier series, here are a few great videos/posts which I think you'll enjoy:
Mathologer's: https://youtu.be/qS4H6PEcCCA
The Coding Train: https://youtu.be/Mm2eYfj0SgA
Jez Swanson: http://www.jezzamon.com/fourier/

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These animations are largely made using manim, a scrappy open source python library: https://github.com/3b1b/manim

If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and it has many other quirks you might expect in a library someone wrote with only their own use in mind.

Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/a...

Stream the music on Spotify:
https://open.spotify.com/album/1dVyjw...

If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.

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