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 |