Space and time are both discretized.
The method updates each grid point from neighboring values in space and earlier values in time. That turns a PDE into a repeated recurrence that is ideal for playback.
Partial differential equations · CMNA Laboratory
Turn an initial shape into motion.
Define the initial displacement in R, then watch the finite-difference wave scheme propagate it through time.
Bring your own initial displacement
Define u₀(x) in R.
Then play the wave through time and see what the grid does to it.
Runtime
Preparing R…RDefine
u0(x) on 0 ≤ x ≤ 1| time step | min u | max u |
|---|
Book§7.3.2 · The Wave Equation · p. 223Book details
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