Theory and Modern Applications
Table 5 Problem 8.5: The maximum absolute errors
h | Proposed method (5.12) | Method discussed in [21] | |||
|---|---|---|---|---|---|
\(R_{e}=10\) | \(R_{e}=10^{2}\) | \(R_{e}=10\) | \(R_{e}=10^{2}\) | ||
1/16 | z | 1.2914(−06) | 1.0250(−05) | 3.8170(−05) | 7.9117(−04) |
v | 1.5074(−06) | 4.9247(−05) | 2.0205(−05) | 8.1179(−04) | |
1/32 | z | 8.1723(−08) | 5.7969(−06) | 2.4148(−06) | 4.4070(−05) |
v | 9.2739(−08) | 3.0772(−06) | 1.2680(−06) | 4.6982(−05) | |
1/64 | z | 5.1144(−09) | 3.5421(−07) | 1.5149(−07) | 2.6562(−06) |
v | 5.7879(−09) | 1.9343(−07) | 7.9504(−08) | 3.0175(−06) | |