Table 2 Numerical results for Example 4.1 (n = 51, N = 5)
From: Solving singular second-orderinitial/boundary value problems in reproducing kernel Hilbert space
x | True solution u(x) | Approximate solution u11 | Absolute error | Relative error |
|---|---|---|---|---|
0.08 | 0.05566 | 0.05564 | 2.3E-5 | 4.IE-4 |
0.16 | 0.19798 | 0.19796 | 2.IE-5 | 1.1E-4 |
0.24 | 0.39473 | 0.39471 | 2.0E-5 | 4.9E-5 |
0.32 | 0.60560 | 0.60557 | 2.8E-5 | 4.6E-5 |
0.40 | 0.77891 | 0.77885 | 5.6E-5 | 7.IE-5 |
0.48 | 0.86452 | 0.86444 | 8.0E-5 | 9.3E-5 |
0.56 | 0.83516 | 0.83509 | 6.6E-5 | 7.9E-5 |
0.64 | 0.70036 | 0.70035 | 9.6E-6 | 1.4E-5 |
0.72 | 0.50144 | 0.50148 | 4.3E-5 | 8.6E-5 |
0.80 | 0.29175 | 0.29180 | 4.7E-5 | 1.6E-5 |
0.88 | 0.11797 | 0.11797 | 2.2E-6 | 1.9E-5 |