A centered finite difference scheme; step 4

Step 4: Formulate the computational algorithm. Assume $u^{n-1}$ and $u^n$ are known, solve for unknown $u^{n+1}$: $$u^{n+1} = 2u^n - u^{n-1} - \Delta t^2\omega^2 u^n$$

Nick names for this scheme: Stormer's method or Verlet integration.