Table 5 Absolute errors of VIM Lu (2007), CBM Caglar and Caglar (2009), and ECBM results for Example 1 with \(n=41\) for u(x)
From: Extended cubic B-spline method for solving a linear system of second-order boundary value problems
x | VIM | CBM | ECBM (\(\lambda _{1}=\lambda _{2}=0\)) | ECBM (\(\lambda _{1}=-1.0E{-}03, \lambda _{2}=0\)) |
|---|---|---|---|---|
0.1 | 3.30E−04 | 1.40E−04 | 1.30E−04 | 2.83E−06 |
0.2 | 2.51E−03 | 2.80E−04 | 2.56E−04 | 5.55E−06 |
0.3 | 7.84E−03 | 3.90E−04 | 3.60E−04 | 7.81E−06 |
0.4 | 1.66E−02 | 4.60E−04 | 4.28E−04 | 9.30E−06 |
0.5 | 2.77E−02 | 4.80E−04 | 4.52E−04 | 9.82E−06 |
0.6 | 3.87E−02 | 4.60E−04 | 4.28E−04 | 9.30E−06 |
0.7 | 4.59E−02 | 3.90E−04 | 3.60E−04 | 7.81E−06 |
0.8 | 4.49E−02 | 2.80E−04 | 2.56E−04 | 5.56E−06 |
0.9 | 3.09E−02 | 1.50E−04 | 1.30E−04 | 2.83E−06 |