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Flow in a Rectangular Channel | Fourier Series & Laplace's Equation 

Exploring Maths
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Chapters:
00:00 Introduction
00:45 2D Problem
05:40 3D Problem
08:00 Solving Laplace's Equation
13:10 Calculating Fourier Series
17:00 Surprising Infinite Sums

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22 июл 2024

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Комментарии : 4   
@arneaj4540
@arneaj4540 19 дней назад
Lovely video, I wish I could do science communication that well myself
@ammonium3757
@ammonium3757 16 дней назад
Excellent video! I've been trying to follow along and derive the equations, one thing that I'm not sure off is at ~8:40, where you write the boundary conditions after seperating the variables. Why is it f(-/+w) = -g(y) and not 0
@exploringmaths9336
@exploringmaths9336 15 дней назад
Ah, good question. If you look at 7:55, the values of the particular solution on the boundaries (left hand side) aren't all 0. So we need the general solution (right hand side) to balance those out, so that it works when we add the 2 solutions together
@ammonium3757
@ammonium3757 13 дней назад
@@exploringmaths9336 Yes, thank you that makes a lot of sens! And thank you again for this great video
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