Theory and Modern Applications
Table 7 Numerical results for Example 5.2 with \(\pmb{\eta=2.5}\)
From: A new approach for one-dimensional sine-Gordon equation
τ | ES | AS | AE | RE | Time CPU (s) |
|---|---|---|---|---|---|
0.02 | 0.013045652299470337726 | 0.013045652299470429228 | 9.15 × 10−17 | 7.01 × 10−15 | 1.014 |
0.04 | 0.026091027076458045383 | 0.026091027076458055762 | 1.03 × 10−17 | 3.97 × 10−16 | 0.905 |
0.06 | 0.039135846843901571207 | 0.039135846843901591760 | 2. × 10−17 | 5.25 × 10−16 | 0.873 |
0.08 | 0.05217983418557021854 | 0.052179834185570326022 | 1.07 × 10−16 | 2.05 × 10−15 | 0.842 |
0.1 | 0.065222711791451326376 | 0.06522271179145110938 | 2.16 × 10−16 | 3.32 × 10−15 | 0.858 |
0.3 | 0.19552959072837645953 | 0.19552959072837616718 | 2.9 × 10−16 | 1.49 × 10−15 | 0.749 |