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 |