T(x, y) — Steady-State Heat Distribution
fourier series · laplace equation · semi-infinite plate
Terms N
5
Resolution
80
y-depth
15
Rot speed
3
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Temperature T(x,y)
0°
50°
100°+
T
(x,y) =
400/π
· Σ
e
−nπy/10
·
sin(nπx/10)
/ n
n = 1, 3, 5, … (odd only)
Domain: x∈[0,10], y∈[0,∞)
T(x,0)=100°, T(0,y)=T(10,y)=0°