Table 4 Comparison of the absolute errors \(\hbox {E}_N(x)\) for Example 2
x | BSDM Khuri and Sayfy (2010) | Present method | ||||
|---|---|---|---|---|---|---|
\(\hbox {E}_{10}(x)\) | \(\hbox {E}_{20}(x)\) | \(\hbox {E}_{40}(x)\) | \(\hbox {E}_{10}(x)\) | \(\hbox {E}_{20}(x)\) | \(\hbox {E}_{40}(x)\) | |
0.0 | 1.05e−05 | 1.05e−05 | 1.05e−05 | 1.05e−05 | 2.2e−09 | 1.4e−09 |
0.1 | 1.05e−05 | 1.05e−05 | 1.05e−05 | 1.05e−05 | 1.2e−09 | 4.0e−10 |
0.2 | 1.03e−05 | 1.03e−05 | 1.03e−05 | 1.03e−05 | 1.4e−09 | 6.0e−10 |
0.3 | 1.02e−05 | 1.02e−05 | 1.02e−05 | 1.02e−05 | 1.4e−09 | 6.0e−10 |
0.4 | 9.93e−06 | 9.93e−06 | 9.93e−06 | 9.93e−06 | 1.5e−09 | 8.0e−10 |
0.5 | 9.62e−06 | 9.62e−06 | 9.62e−06 | 9.62e−06 | 2.6e−09 | 1.8e−09 |
0.6 | 2.73e−06 | 6.07e−06 | 6.93e−06 | 9.25e−06 | 1.9e−09 | 1.2e−09 |
0.7 | 6.67e−07 | 3.65e−06 | 4.75e−06 | 8.75e−06 | 1.4e−09 | 7.0e−10 |
0.8 | 1.58e−06 | 2.02e−06 | 2.93e−06 | 7.88e−06 | 9.0e−10 | 3.0e−10 |
0.9 | 1.08e−06 | 8.76e−07 | 1.37e−06 | 5.78e−06 | 5.5e−10 | 1.1e−09 |
1.0 | 0 | 0 | 0 | 1.10e−10 | 2.74e−11 | 3.6e−11 |