Table 11 Maximum errors of reproducing kernel Geng and Cui (2007), Sinc method Dehghan and Saadatmandi (2007), and ECBM results for Example 2 with \(n=25\) for v(x)
From: Extended cubic B-spline method for solving a linear system of second-order boundary value problems
x | Reproducing kernel | Sinc method | ECBM (\(\lambda _{1}=\lambda _{2}=0\)) | ECBM (\(\lambda _{1}=\lambda _{2}=-1.0E{-}03\)) |
|---|---|---|---|---|
0.08 | 7.7E−03 | 1.5E−03 | 3.8E−04 | 2.2E−04 |
0.24 | 2.2E−02 | 7.0E−03 | 9.9E−04 | 6.0E−04 |
0.40 | 2.7E−02 | 7.4E−03 | 1.3E−03 | 8.3E−04 |
0.56 | 2.7E−02 | 1.0E−02 | 1.4E−03 | 8.6E−04 |
0.72 | 2.0E−02 | 4.4E−03 | 1.1E−03 | 6.8E−04 |
0.88 | 9.4E−03 | 2.1E−02 | 5.0E−04 | 3.3E−04 |
0.96 | 3.1E−03 | 6.9E−03 | 1.7E−04 | 1.1E−04 |