Theory and Modern Applications
Table 1 Numerical results for Example 5.1
From: A new approach for one-dimensional sine-Gordon equation
η | τ | ES | AS | AE | Time CPU (s) |
|---|---|---|---|---|---|
0.1 | 0.1 | 0.2938926262 | 0.2938930965 | 4.703 × 10−7 | 3.860 |
0.2 | 0.2 | 0.4755282582 | 0.4755313577 | 3.0995 × 10−6 | 3.016 |
0.3 | 0.3 | 0.4755282582 | 0.4755183355 | 9.9227 × 10−6 | 2.984 |
0.4 | 0.4 | 0.2938926261 | 0.2939007109 | 8.0848 × 10−6 | 3.000 |
0.5 | 0.5 | 0.0 | 0.0000282140 | 2.82140 × 10−5 | 3.094 |
0.6 | 0.6 | −0.2938926264 | −0.2939063137 | 1.36873 × 10−5 | 3.031 |
0.7 | 0.7 | −0.4755282583 | −0.4755305759 | 2.3176 × 10−6 | 3.031 |
0.8 | 0.8 | −0.4755282581 | −0.4755277748 | 4.833 × 10−7 | 2.953 |
0.9 | 0.9 | −0.2938926260 | −0.2938966580 | 4.0320 × 10−6 | 3.204 |
1.0 | 1.0 | 0.0 | −3.690702068 × 10−7 | 3.690702068 × 10−7 | 3.578 |