Table 5 The numerical solution and exact solution of Example 2
u | Exact solution | Approximation solution | Absolute error |
|---|---|---|---|
0.0 | 2 | 2 | 0 |
0.1 | 2.464100000000001 | 2.464100000000000 | 4.440892098500626E−16 |
0.2 | 3.073600000000000 | 3.073600000000000 | 4.440892098500626E−16 |
0.3 | 3.856100000000001 | 3.856100000000001 | 0 |
0.4 | 4.841599999999999 | 4.841600000000001 | 1.776356839400251E−15 |
0.5 | 6.062500000000000 | 6.062500000000000 | 0 |
0.6 | 7.553600000000001 | 7.553600000000000 | 8.881784197001252E−16 |
0.7 | 9.352099999999998 | 9.352100000000000 | 1.776356839400251E−15 |
0.8 | 11.497600000000002 | 11.497600000000000 | 1.776356839400251E−15 |
0.9 | 14.032099999999998 | 14.032100000000000 | 1.776356839400251E−15 |
1.0 | 17 | 17 | 0 |