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Table 14 Comparison of ECBM results with the exact solution for Example 3 when \(\lambda _{1}=0.000000\), \(\lambda _{2}=0.000000\), and \(n=5\)

From: Extended cubic B-spline method for solving a linear system of second-order boundary value problems

x Exact solution u(x) Approx. solution U(x) Absolute error \(|U(x)-u(x)|\) Exact solution v(x) Approx. solution V(x) Absolute error \(|V(x)-v(x)|\)
0.2 −0.160000 −0.160000 4.163336E−16 0.160000 0.160000 4.718448E−16
0.4 −0.240000 −0.240000 2.775558E−17 0.240000 0.240000 6.106227E−16
0.6 −0.240000 −0.240000 9.992007E−16 0.240000 0.240000 2.775558E−16
0.8 −0.160000 −0.160000 3.469447E−15 0.160000 0.160000 3.691492E−15