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Table 9 Comparison of ECBM results with the exact solution for Example 2 when \(\lambda _{1}=-0.012692\), \(\lambda _{2}=-0.066345\), 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 0.317871 0.317853 1.769288E−05 0.587785 0.587676 1.093618E−04
0.4 0.467302 0.467284 1.800318E−05 0.951057 0.950881 1.750618E−04
0.6 0.451714 0.451696 1.804713E−05 0.951057 0.950882 1.744319E−04
0.8 0.286942 0.286926 1.603373E−05 0.587785 0.587678 1.068617E−04