Theory and Modern Applications
Table 8 Absolute error for solving Example 5 using FAM22 as \(\alpha =1.0\)
t | α=1.00 | ||
|---|---|---|---|
N = 10 | N = 100 | N = 1000 | |
0.1 | 0.0000 ×100 | 0.0000 ×100 | 0.0000 ×100 |
0.2 | 9.5000×10−5 | 8.7304×10−6 | 9.8045×10−7 |
0.3 | 1.8121×10−4 | 1.5174×10−5 | 1.5844×10−6 |
0.4 | 2.5921×10−4 | 2.2295×10−5 | 2.2901×10−6 |
0.5 | 3.2978×10−4 | 3.8738×10−5 | 3.4286×10−6 |
0.6 | 3.9363×10−4 | 4.4568×10−5 | 4.5064×10−6 |
0.7 | 4.5139×10−4 | 4.9843×10−5 | 5.0292×10−6 |
0.8 | 5.0366×10−4 | 5.4616×10−5 | 5.5022×10−6 |
0.9 | 5.5094×10−4 | 5.8935×10−5 | 5.9302×10−6 |
1.0 | 5.9372×10−4 | 6.2843×10−5 | 6.3175×10−6 |
MXE (P) | 7.7702×10−4 | 6.9950×10−5 | 1.0259×10−5 |
MXE (C) | 5.9372×10−4 | 6.2843×10−5 | 6.3175×10−6 |
EOC (P) | 1.04 | ||
EOC (C) | 2.06 | ||