Theory and Modern Applications
Table 5 Numerical results for Example 5.2 with \(\pmb{\tau=1}\)
From: A new approach for one-dimensional sine-Gordon equation
η | ES | AS | AE | RE | Time CPU (s) |
|---|---|---|---|---|---|
−0.80 | 2.5681097221289163512 | 2.5681097220865804301 | 4.2 × 10−11 | 1.6 × 10−11 | 0.842 |
−0.40 | 2.9858433445292456583 | 2.9858433445285564413 | 6.8 × 10−13 | 2.3 × 10−13 | 0.873 |
0.00 | 3.1415926535897932385 | 3.1415926535905335235 | 7.4 × 10−13 | 2.3 × 10−13 | 0.936 |
0.40 | 2.9858433445292456583 | 2.9858433445285564413 | 6.8 × 10−13 | 2.3 × 10−13 | 0.686 |
0.80 | 2.5681097221289163512 | 2.5681097220865804301 | 4.2 × 10−11 | 1.6 × 10−11 | 0.733 |