Theory and Modern Applications
Table 13 Numerical results for Example 5.2 with \(\pmb{\eta =0.06}\)
From: A new approach for one-dimensional sine-Gordon equation
τ | ES | AS | AE | RE | Time CPU (s) |
|---|---|---|---|---|---|
0.02 | 0.07984560896434381352 | 0.079845608964343853426 | 3.99 × 10−17 | 4.99 × 10−16 | 0.889 |
0.04 | 0.15962763841261813303 | 0.15962763841261815794 | 2.49 × 10−17 | 1.56 × 10−16 | 1.232 |
0.06 | 0.23928281206851416623 | 0.23928281206851423765 | 7.14 × 10−17 | 2.98 × 10−16 | 0.920 |
0.08 | 0.31874845652859878735 | 0.31874845652859888367 | 9.63 × 10−17 | 3.02 × 10−16 | 0.904 |
0.1 | 0.39796279376194770105 | 0.39796279376194771082 | 9.77 × 10−18 | 2.45 × 10−17 | 0.858 |