Theory and Modern Applications
Table 10 Numerical results for Example 5.2 with \(\pmb{\eta =10.0}\)
From: A new approach for one-dimensional sine-Gordon equation
τ | ES | AS | AE | RE | Time CPU (s) |
|---|---|---|---|---|---|
0.02 | 0.00000726398874701739435 | 0.0000072639887470122372 | 5.1 × 10−18 | 7.0 × 10−13 | 0.874 |
0.04 | 0.00001452797749398687768 | 0.0000145279774939233104 | 6.3 × 10−17 | 4.3 × 10−12 | 0.936 |
0.06 | 0.00002179196624086053894 | 0.0000217919662408353413 | 2.5 × 10−17 | 1.1 × 10−12 | 0.998 |
0.08 | 0.00002905595498759046712 | 0.0000290559549867947262 | 7.9 × 10−16 | 2.7 × 10−11 | 1.170 |
0.1 | 0.00003631994373412875118 | 0.000036319943734399877 | 2.7 × 10−16 | 7.4 × 10−12 | 0.858 |
0.3 | 0.00010895983117843073892 | 0.0001089598311794268356 | 9.9 × 10−16 | 9.1 × 10−12 | 0.889 |