Research Article
A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method
Table 4
The relative error of Example
11 for initial condition at
,
.
| | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 |
| 0.1 | 9.201 × 10−7 | 5.113 × 10−10 | 5.707 × 10−7 | 3.868 × 10−7 | 6.06 × 10−7 | 2.76 × 10−6 | 0.2 | 3.441 × 10−7 | 3.498 × 10−7 | 3.968 × 10−7 | 4.320 × 10−7 | 1.48 × 10−6 | 8.84 × 10−7 | 0.3 | 1.255 × 10−8 | 4.555 × 10−7 | 3.881 × 10−6 | 1.132 × 10−7 | 4.49 × 10−6 | 5.13 × 10−7 | 0.4 | 1.032 × 10−7 | 5.264 × 10−8 | 2.862 × 10−7 | 8.964 × 10−7 | 5.13 × 10−7 | 4.27 × 10−7 | 0.5 | 1.460 × 10−7 | 6.857 × 10−8 | 4.469 × 10−7 | 2.089 × 10−7 | 4.44 × 10−7 | 2.04 × 10−6 | 0.6 | 6.079 × 10−7 | 4.410 × 10−7 | 2.175 × 10−7 | 5.958 × 10−7 | 2.65 × 10−7 | 2.58 × 10−8 |
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