Theory and Modern Applications
Table 15 Numerical results for Example 5.2 with \(\pmb{\eta =0.1}\)
From: A new approach for one-dimensional sine-Gordon equation
τ | ES | AS | AE | RE | Time CPU (s) |
|---|---|---|---|---|---|
0.02 | 0.079591154289758679228 | 0.079591154289759560107 | 8.8 × 10−16 | 1.1 × 10−14 | 0.874 |
0.04 | 0.15911933466140392832 | 0.15911933466140305331 | 8.75 × 10−16 | 5.49 × 10−15 | 0.874 |
0.06 | 0.23852186564169922344 | 0.23852186564169936963 | 1.46 × 10−16 | 6.12 × 10−16 | 0.920 |
0.08 | 0.31773666512002042948 | 0.31773666512002071579 | 2.86 × 10−16 | 9.01 × 10−16 | 1.295 |
0.1 | 0.396702532289366215 | 0.39670253228936612 | 9.43 × 10−17 | 2.37 × 10−16 | 0.874 |