Learning the Runge-Kutta Method 1. Basic Runge-Kutta

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Thank you, patrons!
Fan Xinyu

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The value of this brief video is the overall explanation of k1 thru k4, what you're doing, and the revelation as to why it is so accurate. Thank you.

JohnVKaravitis
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still not the perfect explaination but getting closer for sure. how has there been no good visual explanations for numerical methods? man my studies are so much harder than they have to be its simple stuff always explained like the most complex shit

gopnikboy
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this video is really good and quick, now i have the intuition to study further

nefereous
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I still don't get it. Like when you define the derivative what does the argument x do, you never use it in your calculations so what is it doing there?

WhateverOwO
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Nice video. I just thought I'd mention, that when you say the Runge Kutta Method has 4 points to calculate, then you're specifically talking about the 4th Order Runge Kutta Method. There are other orders. There are also other coefficients, and you're using Runge's coefficients. Anyway, still a good video, cheers

jasonthomas
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Just a fyi: at 2:09 it shows "x_ecm = x_ecm + fun(t, x)*dt". However in the actual code it is "x_ecm = x_ecm + fun(t, x_ecm)*dt"

fxbros
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Hi, shouldn't it be x_ecm = x_ecm + fun(t, x_ecm)*dt? :)

misterx
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Hi, I tried to follow step by step your code unfortunately when running the code the graph doesn't display. I am just wondering what kind of module in python do you import? In my case I have imported
1-Matplotlib.pyplot as plt and 2- numpy. Thanks

NZIT
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Shouldn't the k equations be timestep * function?

pppooppoo
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The explanation with code is really helpful

deniz.
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Otherwise, I get the drift, and thanks for a quick 2 minute primer on this.

zman
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can you please explain rate(100) line in the code ?

abhimanyusinghkhichi