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.