Theory and Modern Applications
Table 3 Comparison of HOBW results and the Nystrom method for Example 7.3
x | Exact | HOBW at M = 4, k = 3 | Nystrom method | ||
|---|---|---|---|---|---|
y(x) | Abs. Error | y(x) | Abs. Error | ||
0 | 1 | 1 | 0 | 1 | 0 |
0.1 | 1.10517 | 1.105167 | 0.000003 | 1.10393 | 0.00123938 |
0.2 | 1.2214 | 1.22138 | 0.00002 | 1.21842 | 0.00297924 |
0.3 | 1.34986 | 1.349857 | 0.000003 | 1.34476 | 0.00510241 |
0.4 | 1.49182 | 1.491816 | 0.000004 | 1.4843 | 0.00752611 |
0.5 | 1.64872 | 1.648718 | 0.000002 | 1.63862 | 0.0101061 |
0.6 | 1.82212 | 1.822119 | 0.000001 | 1.80958 | 0.0125403 |
0.7 | 2.01375 | 2.013747 | 0.000003 | 1.99952 | 0.0142327 |
0.8 | 2.22554 | 2.225538 | 0.000002 | 2.21144 | 0.0141018 |
0.9 | 2.4596 | 2.45956 | 0.00004 | 2.44928 | 0.0103248 |