Table 8 Computational time and norms for different optimization equations \(d_{1}(\lambda _{1},\lambda _{2})\), \(d_{2}(\lambda _{1},\lambda _{2})\), and \(d_{3}(\lambda _{1},\lambda _{2})\) with \(n=5\)
From: Extended cubic B-spline method for solving a linear system of second-order boundary value problems
Minimization values | \(d_{1}(\lambda _{1},\lambda _{2})\) | \(d_{2}(\lambda _{1},\lambda _{2})\) | \(d_{3}(\lambda _{1},\lambda _{2})\) |
|---|---|---|---|
\(\lambda _{1}\) | −1.273122E−02 | −1.273121E−02 | −1.269208E−02 |
\(\lambda _{2}\) | −6.634562E−02 | −6.634562E−02 | −6.634523E−02 |
Computational time (s) | 5.517106E+02 | 5.196057E+02 | 2.959325E+01 |
\(L_{\infty }\) | 1.750978E−04 | 1.750978E−04 | 1.750618E−04 |
\(L_{2}\) | 2.913261E−04 | 2.913260E−04 | 2.926986E−04 |