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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