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Table 1 Coefficient of \(E_{i}\), \(E_{i}^{\prime}\), and \(E_{i}^{\prime\prime}\)

From: Extended cubic B-spline method for solving a linear system of second-order boundary value problems

x \(x_{i}\) \(x_{i+1}\) \(x_{i+2}\) \(x_{i+3}\) \(x_{i+4}\)
\(E_{i}\) 0 \(\frac{4-\lambda }{24}\) \(\frac{8+\lambda }{12}\) \(\frac{4-\lambda }{24}\) 0
\(E_{i}^{\prime}\) 0 \(\frac{-1}{2h}\) \(\frac{0}{h}\) \(\frac{1}{2h}\) 0
\(E_{i}^{\prime\prime}\) 0 \(\frac{2+\lambda }{2h^{2}}\) \(\frac{-2-\lambda }{h^{2}}\) \(\frac{2+\lambda }{2h^{2}}\) 0