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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