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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