Table 10 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 u(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 | 3.3E−03 | 3.2E−03 | 1.3E−04 | 1.4E−05 |
0.24 | 7.7E−03 | 9.4E−04 | 2.7E−04 | 1.1E−05 |
0.40 | 9.7E−03 | 2.0E−03 | 2.7E−04 | 2.1E−05 |
0.56 | 9.5E−03 | 2.2E−04 | 2.0E−04 | 5.9E−05 |
0.72 | 7.3E−03 | 4.1E−03 | 9.4E−05 | 7.8E−05 |
0.88 | 3.4E−03 | 1.0E−02 | 1.6E−05 | 5.6E−05 |
0.96 | 1.1E−03 | 2.1E−03 | 3.6E−08 | 2.3E−05 |