Table 4 Comparison of the maximum absolute error of the proposed scheme and the scheme in [9] of Example 4.2
\(\varepsilon \downarrow N \rightarrow\) | \(2^6\) | \(2^7\) | \(2^8\) | \(2^9\) | \(2^{10}\) |
|---|---|---|---|---|---|
Proposed scheme | |||||
\(2^{-4}\) | 1.8983e−02 | 1.0548e−02 | 6.6102e–02 | 3.7290e–02 | 2.9853e–03 |
\(2^{-8}\) | 4.3025e−03 | 6.3198e−03 | 6.3217e–03 | 1.3572e–03 | 1.4234e–03 |
\(2^{-12}\) | 3.8803e−03 | 1.9451e−03 | 9.7376e–04 | 4.8718e–04 | 2.4367e–04 |
\(2^{-16}\) | 3.8803e−03 | 1.9451e–03 | 9.7376e–04 | 4.8718e–04 | 2.4367e–04 |
Result in [9] | |||||
\(2^{-4}\) | 5.558e–02 | 1.687e−02 | 4.810e–02 | 1.270e–03 | 3.200e–04 |
\(2^{-8}\) | 5.610e–02 | 1.703e–02 | 4.960e–03 | 1.320e–03 | 3.400e–04 |
\(2^{-12}\) | 5.544e–02 | 1.683e–02 | 4.970e–03 | 1.350e–03 | 3.500e–04 |
\(2^{-16}\) | 5.680e–02 | 1.736e–02 | 5.160e–03 | 1.420e–03 | 3.700e–04 |