4.9 case 8

\(\tau =0.07\) sec, \(h=0.1\ \)ft\(,\) \(\frac {u\tau }{h}=\frac {2\times 0.07}{0.1}=1.4>1\)

Speed Method CPU time (sec) RMSE Animation (2D) plots
U=2 Explicit FTCS 0.5 blows up N/A blows up HTML
Explicit LAX 0.89 blows up HTML
Implicit FTCS 0.453 0.1653 HTML
C-R 0.36 0.01403 HTML
U=t/20 Explicit FTCS 0.234 blows up N/A blows up HTML
Explicit LAX 0.2187 0.01564 HTML
Implicit FTCS 0.344 0.0557 HTML
C-R 0.312 0.0174 HTML