Initial Condition
Centre pluck
x₀=½ — pure odd harmonics
⅓ pluck
x₀=⅓ — no 3rd, 6th, 9th…
⅛ pluck
x₀=⅛ — rich high-mode spectrum
Gaussian pluck
smooth bump — low-mode focus
Double pluck
two bumps — wave interference
Wave speed c
2.00
Damping γ
0.20
Modes N
32
♫ Show Modes
⏸ Pause
↺ Reset
Click or drag on canvas
to draw any initial shape.
Bars = Fourier mode
amplitudes in real time.
c:
2.00
γ:
0.20
N:
32
t:
0.00
u(x,t) = ∑ aₙ cos(nπct) · e
−γnt
· sin(nπx)
Click / Drag
— draw initial shape
Sliders
— wave speed, damping
Space
— pause / play