Theory and Modern Applications
Table 1 Results extracted via the presented approach for Example 1 with three choices of \(\zeta (\tau )\)
M | N | ζ(τ)=0.50 + 0.25sin(τ) | \(\zeta (\tau )=0.85-0.25e^{-\tau}\) | \(\zeta (\tau )=0.65+0.25\tau ^{3}\cos (\tau )\) | CPU time | |||
|---|---|---|---|---|---|---|---|---|
\(e_{\theta}\) | CO | \(e_{\theta}\) | CO | \(e_{\theta}\) | CO | |||
5 | 4 | 4.8716E-03 | – | 4.8703E-03 | – | 4.8704E-03 | – | 02.54 |
6 | 5 | 4.3022E-04 | 07.2127 | 4.3018E-04 | 07.2122 | 4.3018E-04 | 07.2122 | 05.29 |
7 | 6 | 3.2230E-05 | 09.0078 | 3.2171E-05 | 09.0139 | 3.2179E-05 | 09.0130 | 12.71 |
8 | 7 | 2.6413E-06 | 09.9541 | 2.6412E-06 | 09.9470 | 2.6379E-06 | 09.9529 | 31.04 |
9 | 8 | 1.9235E-07 | 11.7400 | 2.1424E-07 | 11.2568 | 2.1424E-07 | 11.2512 | 64.64 |