Theory and Modern Applications
Table 9 Numerical results for Example 5.2 with \(\pmb{\eta =7.5}\)
From: A new approach for one-dimensional sine-Gordon equation
τ | ES | AS | AE | RE | Time CPU (s) |
|---|---|---|---|---|---|
0.02 | 0.0000884934721388573766 | 0.0000884934721392853003 | 4.2 × 10−16 | 4.8 × 10−12 | 0.827 |
0.04 | 0.0001769869441910896592 | 0.0001769869441950110056 | 3.9 × 10−15 | 2.2 × 10−11 | 0.749 |
0.06 | 0.0002654804160700717544 | 0.0002654804160796786727 | 9.6 × 10−15 | 3.6 × 10−11 | 0.889 |
0.08 | 0.0003539738876891785695 | 0.0003539738876799533295 | 9.2 × 10−15 | 2.6 × 10−11 | 0.967 |
0.1 | 0.0004424673589617850136 | 0.0004424673589703796322 | 8.5 × 10−15 | 1.9 × 10−11 | 0.812 |
0.3 | 0.0013274020335728111501 | 0.0013274020333220852196 | 2.5 × 10−13 | 1.8 × 10−10 | 1.326 |