Table 2.
Maximum absolute errors obtained by the proposed method for different values of ε, N and δ = 0.5 × ε.
| ε↓N→ | 28 | 210 | 212 | 214 | 216 |
|---|---|---|---|---|---|
| Example 1 | |||||
| 2−8 | 4.5193e-05 | 2.8548e-06 | 1.7854e-07 | 1.2027e-08 | 7.4998e-10 |
| 2−10 | 1.5714e-04 | 1.1355e-05 | 7.1698e-07 | 4.8313e-08 | 3.0214e-09 |
| 2−12 | 2.5560e-04 | 3.9395e-05 | 2.8424e-06 | 1.9331e-07 | 1.2092e-08 |
| 2−14 | 2.5754e-04 | 6.4111e-05 | 9.8555e-06 | 7.6445e-07 | 4.8341e-08 |
| 2−16 | 2.5754e-04 | 6.4600e-05 | 1.6041e-05 | 2.5966e-06 | 1.9113e-07 |
| 2−18 | 2.5754e-04 | 6.4600e-05 | 1.6163e-05 | 4.0212e-06 | 6.4919e-07 |
| 2−20 | 2.5754e-04 | 6.4600e-05 | 1.6163e-05 | 4.0417e-06 | 1.0054e-06 |
| Example 2 | |||||
| 2−8 | 2.0046e-04 | 1.4336e-04 | 7.9239e-07 | 5.3521e-08 | 3.3349e-09 |
| 2−10 | 6.9471e-04 | 1.4336e-04 | 3.1949e-06 | 2.1583e-07 | 1.3494e-08 |
| 2−12 | 1.1352e-03 | 1.7425e-04 | 1.2673e-05 | 8.6459e-07 | 5.4081e-08 |
| 2−14 | 1.1428e-03 | 2.8467e-04 | 4.3601e-05 | 3.4173e-06 | 2.1628e-07 |
| 2−16 | 1.1428e-03 | 2.8657e-04 | 7.1221e-05 | 1.1494e-05 | 8.5447e-07 |
| 2−18 | 1.1428e-03 | 2.8657e-04 | 7.1697e-05 | 1.7849e-05 | 2.8736e-06 |
| 2−20 | 1.1428e-03 | 2.8657e-04 | 7.1697e-05 | 1.7928e-05 | 4.4624e-06 |
| Example 3 | |||||
| 2−8 | 1.4446e-03 | 1.0091e-04 | 6.3550e-06 | 3.1651e-07 | 4.9760e-08 |
| 2−10 | 2.5932e-03 | 3.6576e-04 | 2.5562e-05 | 1.2873e-06 | 8.5270e-08 |
| 2−12 | 2.6284e-03 | 6.5314e-04 | 9.1851e-05 | 5.1467e-06 | 3.2573e-07 |
| 2−14 | 2.6284e-03 | 6.6201e-04 | 1.6359e-04 | 1.9155e-05 | 1.2890e-06 |
| 2−16 | 2.6284e-03 | 6.6201e-04 | 1.6581e-04 | 3.9977e-05 | 4.7910e-06 |
| 2−18 | 2.6284e-03 | 6.6201e-04 | 1.6581e-04 | 4.1471e-05 | 9.9958e-06 |
| 2−20 | 2.6284e-03 | 6.6201e-04 | 1.6581e-04 | 4.1471e-05 | 1.0369e-05 |