noneuclideandreamer, German
@noneuclideandreamer@mathstodon.xyz avatar

So I'm trying to solve the heat equation numerically. (Here with 2 sources)
But why doesn't it spread in a circle?

I basically do

f(x,y,t+1) = f(x,y,t)+c(f(x+1,y,t)+f(x-1,y,t)-2f(x,y,t))
+c(f(x,y+1,t)+f(x,y-1,t)-2f(x,y,t))

which is the numerical heat equation, right? Do I just need to finetune the c? Or maybe it's not actually a problem and my coloring takes small changes too seriously, after a while it looks nice...
(I already fixed the central horizontal distortion?)

video/mp4

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