Theory and Modern Applications
Table 2 The max error for Example 8.2 for \(\alpha =0.5\)
N | \(E_{1}(N)\) | \(E_{2}(N)\) | \(E_{3}(N)\) | \(E_{4}(N)\) |
|---|---|---|---|---|
1 | 0.000000000000000 | 0.032501466868232 | 0.199783785140225 | 0.326981105312188 |
2 | 0.000000000000002 | 0.005532877102538 | 0.004755914362358 | 0.045225534230613 |
3 | 0.000000000000000 | 0.001648563626364 | 0.000624735212548 | 0.000768356206406 |
4 | 0.000000000000001 | 0.000520359872234 | 0.000110339609934 | 0.000062991248880 |
5 | 0.000000000000002 | 0.000244911629967 | 0.000032175396605 | 0.000010886039795 |
6 | 0.000000000000006 | 0.000129849042607 | 0.000011652840979 | 0.000002650968892 |
7 | 0.000000000000002 | 0.000075079326877 | 0.000004900959384 | 0.000000809104333 |
8 | 0.000000000000002 | 0.000046367322489 | 0.000002328227246 | 0.000000289378519 |