Theory and Modern Applications
Table 4 Numerical results for Example 5.2
From: A new approach for one-dimensional sine-Gordon equation
η | τ | ES | AS | AE | RE | Time CPU (s) |
|---|---|---|---|---|---|---|
0.1 | 0.1 | 0.396702532289366215 | 0.39670253228936612 | 9.43 × 10−17 | 2.37 × 10−16 | 0.874 |
0.2 | 0.2 | 0.77443854423966038 | 0.774438544239660056 | 3.24 × 10−16 | 4.19 × 10−16 | 0.843 |
0.3 | 0.3 | 1.11790876976715877 | 1.117908769767159201 | 4.29 × 10−16 | 3.83 × 10−16 | 0.874 |
0.4 | 0.4 | 1.41753016381685945 | 1.417530163816859722 | 2.65 × 10−16 | 1.87 × 10−16 | 0.952 |
0.5 | 0.5 | 1.66943886908587781 | 1.669438869085877479 | 3.33 × 10−16 | 1.99 × 10−16 | 0.874 |
0.6 | 0.6 | 1.87415961287513759 | 1.874159612875137133 | 4.57 × 10−16 | 2.44 × 10−16 | 0.904 |
0.7 | 0.7 | 2.03492391748435838 | 2.034923917484357432 | 9.47 × 10−16 | 4.65 × 10−16 | 0.921 |
0.8 | 0.8 | 2.15626165034295019 | 2.156261650342951155 | 9.63 × 10−16 | 4.46 × 10−16 | 0.967 |
0.9 | 0.9 | 2.24305837947587106 | 2.243058379475871257 | 1.88 × 10−16 | 8.39 × 10−17 | 0.999 |
1.0 | 1.0 | 2.30002473031364741 | 2.300024730313647325 | 8.66 × 10−17 | 3.76 × 10−17 | 0.967 |