Theory and Modern Applications
Table 8 Numerical solutions for Example 5.2 with \(\pmb{\eta =5.0}\)
From: A new approach for one-dimensional sine-Gordon equation
τ | ES | AS | AE | RE | Time CPU (s) |
|---|---|---|---|---|---|
0.02 | 0.0010780225516042560299 | 0.0010780225516046950169 | 4.3 × 10−16 | 4.07 × 10−13 | 1.233 |
0.04 | 0.0021560449466078880312 | 0.0021560449466103154491 | 2.4 × 10−15 | 1.12 × 10−12 | 0.655 |
0.06 | 0.003234067028410408468 | 0.0032340670284064571408 | 3.9 × 10−15 | 1.22 × 10−12 | 0.811 |
0.08 | 0.0043120886404116027904 | 0.0043120886404125186434 | 9.1 × 10−16 | 2.12 × 10−13 | 0.936 |
0.1 | 0.0053901096260116659256 | 0.0053901096260170153463 | 5.3 × 10−15 | 9.92 × 10−13 | 1.092 |
0.3 | 0.016170250578558993341 | 0.016170250578577492240 | 1.8 × 10−14 | 1.14 × 10−12 | 1.139 |