t h2 h3 h4
0.07 8.20 8.20 6.05
0.14 8.20 7.20 5.91
0.21 7.73 7.07 5.43
0.28 7.64 6.62 5.34
0.35 7.42 6.50 5.12
0.42 7.35 6.29 5.05
0.49 7.25 6.21 4.95
0.56 7.21 6.11 4.91
0.63 7.16 6.06 4.86
0.70 7.13 6.01 4.83
2. explicit t = 0.14
t h2 h3 h4
0.14 8.20 8.20 3.91
0.28 8.20 4.19 7.63
0.42 4.46 11.14 0.66
0.56 14.18 -4.87 13.18
0.70 -9.19 29.76 -12.61
3. graphing for time step = 0.07 days
close up:
for time step = 0.14 days, notice the instability
4. Description
Head decreases steadily with time and the rate of decrease is reduced at later times when the small time step is used. When the larger time step is used, the solution oscillates, with oscillations increasing in amplitude at larger times (i.e., the solution is unstable).