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Table 3 Comparison of ECBM results with the exact solution for Example 1 when \(\lambda _{1}=-6.639145E{-}02\), \(\lambda _{2}=1.161882E{-}06\), 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 0.587785 0.587696 8.897274E−05 −0.160000 −0.160004 3.641560E−06
0.4 0.951057 0.950915 1.413501E−04 −0.240000 −0.240006 6.478141E−06
0.6 0.951057 0.950915 1.413576E−04 −0.240000 −0.240007 7.169404E−06
0.8 0.587785 0.587696 8.891932E−05 −0.160000 −0.160005 4.793718E−06