Table 1 The maximum absolute errors at the equidistant point for Example 1
Presented method | Method in [5] | ||||||
|---|---|---|---|---|---|---|---|
| Â | \(w_{1}=w_{2}=1\) | \(w_{1}=1+x\), \(w_{2}=0.1+\sin (\pi x)\) | Â | Â | Â | ||
n | \(E_{1}\) | \(E_{2}\) | \(E_{1}\) | \(E_{2}\) | m | \(E_{1}\) | \(E_{2}\) |
4 | 1.2(−4) | 1.6(−4) | 7.6(−5) | 9.5(−5) | 3 | 5.3(−3) | 1.4(−2) |
10 | 1.6(−6) | 2.3(−6) | 1.7(−6) | 2.8(−6) | 4 | 4.5(−3) | 2.9(−1) |
20 | 3.6(−8) | 4.8(−8) | 3.0(−8) | 4.6(−8) | 5 | 5.8(−5) | 1.0(−4) |
40 | 1.8(−10) | 1.8(−10) | 9.1(−11) | 1.4(−10) | – | – | – |