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 |