Table 4 Comparison of maximum point wise errors for Example 2
\(\varepsilon \downarrow \) | \(N = 16\) | \(N = 32\) | \(N = 64\) | \(N = 128\) | \(N = 256\) | \(N = 512\) |
|---|---|---|---|---|---|---|
Proposed Method | ||||||
\(2^{-0}\) | 4.7516e-04 | 2.3325e-04 | 1.1624e-04 | 5.8105e-05 | 2.9052e-05 | 1.4526e-05 |
\(2^{-4}\) | 2.7847e-03 | 1.0798e-03 | 6.4791e-04 | 3.5894e-04 | 1.8853e-04 | 9.6561e-05 |
\(2^{-8}\) | 7.2234e-03 | 3.6109e-03 | 1.6076e-03 | 5.5890e-04 | 1.6922e-04 | 8.6042e-05 |
\(2^{-12}\) | 7.2237e-03 | 3.6438e-03 | 1.8325e-03 | 9.1984e-04 | 4.6076e-04 | 2.2852e-04 |
\(2^{-16}\) | 7.2237e-03 | 3.6438e-03 | 1.8325e-03 | 9.1984e-04 | 4.6078e-04 | 2.3061e-04 |
\(2^{-20}\) | 7.2237e-03 | 3.6438e-03 | 1.8325e-03 | 9.1984e-04 | 4.6078e-04 | 2.3061e-04 |
\(2^{-24}\) | 7.2237e-03 | 3.6438e-03 | 1.8325e-03 | 9.1984e-04 | 4.6078e-04 | 2.3061e-04 |
\(2^{-28}\) | 7.2237e-03 | 3.6438e-03 | 1.8325e-03 | 9.1984e-04 | 4.6078e-04 | 2.3061e-04 |
Results in [41] | ||||||
\(2^{-0}\) | 2.3950e-02 | 1.7664e-02 | 1.1228e-02 | 6.4886e-03 | 3.5334e-03 | 1.8536e-03 |
\(2^{-4}\) | 4.8048e-02 | 2.7869e-02 | 1.4847e-02 | 7.6292e-03 | 3.8619e-03 | 1.9422e-03 |
\(2^{-8}\) | 4.9006e-02 | 2.8622e-02 | 1.5142e-02 | 7.7170e-03 | 3.8852e-03 | 1.9482e-03 |
\(2^{-12}\) | 4.9006e-02 | 2.8622e-02 | 1.5141e-02 | 7.7173e-03 | 3.8858e-03 | 1.9484e-03 |
\(2^{-16}\) | 4.9006e-02 | 2.8622e-02 | 1.5141e-02 | 7.7173e-03 | 3.8858e-03 | 1.9484e-03 |
\(2^{-20}\) | 4.9006e-02 | 2.8622e-02 | 1.5141e-02 | 7.7173e-03 | 3.8858e-03 | 1.9484e-03 |
\(2^{-24}\) | 4.9006e-02 | 2.8622e-02 | 1.5141e-02 | 7.7173e-03 | 3.8858e-03 | 1.9484e-03 |
\(2^{-28}\) | 4.9006e-02 | 2.8622e-02 | 1.5141e-02 | 7.7173e-03 | 3.8858e-03 | 1.9484e-03 |