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Table 2 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 \(d_{1}(\lambda _{1},\lambda _{2})\) \(d_{2}(\lambda _{1},\lambda _{2})\) \(d_{3}(\lambda _{1},\lambda _{2})\)
\(\lambda _{1}\) −6.639979E−02 −6.639979E−02 −6.639145E−02
\(\lambda _{2}\) −1.230437E−06 −1.230522E−06 1.161882E−06
Computational time (s) 1.306340E+04 2.728410E+03 2.230830E+00
\(L_{\infty }\) 1.377934E−04 1.377934E−04 1.413576E−04
\(L_{2}\) 2.306527E−04 2.306527E−04 2.364995E−04