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 × 10−75.113 × 10−105.707 × 10−73.868 × 10−76.06 × 10−72.76 × 10−6
0.2 3.441 × 10−73.498 × 10−73.968 × 10−74.320 × 10−71.48 × 10−68.84 × 10−7
0.3 1.255 × 10−84.555 × 10−73.881 × 10−61.132 × 10−74.49 × 10−65.13 × 10−7
0.4 1.032 × 10−75.264 × 10−82.862 × 10−78.964 × 10−75.13 × 10−74.27 × 10−7
0.5 1.460 × 10−76.857 × 10−84.469 × 10−72.089 × 10−74.44 × 10−72.04 × 10−6
0.6 6.079 × 10−74.410 × 10−72.175 × 10−75.958 × 10−72.65 × 10−72.58 × 10−8