Table 7 Absolute errors of the presented method with \(n=30\) for Example 3
| Â | \(w_{1}=1\), \(w_{2}=1\) | \(w_{1}=1+\sin (x)\), \(w_{2}=1+x\) | ||
|---|---|---|---|---|
x | \(| y_{1}-y_{{1,30}}| \) | \(| y_{2}-y_{{2,30}}| \) | \(| y_{1}-y_{{1,30}}| \) | \(| y_{2}-y_{{2,30}}| \) |
0.0 | 0 | 0 | 0 | 0 |
0.1 | 3.9(−4) | 9.2(−5) | 3.9(−4) | 9.2(−5) |
0.2 | 7.8(−4) | 3.9(−4) | 7.8(−4) | 3.9(−4) |
0.3 | 1.2(−3) | 8.4(−4) | 1.2(−3) | 8.4(−4) |
0.4 | 1.8(−3) | 1.4(−3) | 1.8(−3) | 1.4(−3) |
0.5 | 2.5(−3) | 2.0(−3) | 2.5(−3) | 2.0(−3) |
0.6 | 3.4(−3) | 2.6(−3) | 3.4(−3) | 2.6(−3) |
0.7 | 4.6(−3) | 3.2(−3) | 4.6(−3) | 3.2(−3) |
0.8 | 6.1(−3) | 3.7(−3) | 6.1(−3) | 3.7(−3) |
0.9 | 7.8(−3) | 3.9(−3) | 7.8(−3) | 3.9(−3) |
1.0 | 9.7(−3) | 3.9(−3) | 9.7(−3) | 3.9(−3) |