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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