Theory and Modern Applications
Table 1 The coefficients of ECBS \(\eta _{i}(z)\) and their derivatives at node \(z_{i}\)
z | \(z_{i-2}\) | \(z_{i-1}\) | \(z_{i}\) | \(z_{i+1}\) | \(z_{i+2}\) |
|---|---|---|---|---|---|
\(\eta _{i}(z)\) | 0 | \(\frac{4-\mu }{24}\) | \(\frac{16+2\mu }{24}\) | \(\frac{4-\mu }{24}\) | 0 |
\(\eta '_{i}(z)\) | 0 | \(\frac{1}{2h}\) | 0 | \(\frac{-1}{2h}\) | 0 |
\(\eta ''_{i}(z)\) | 0 | \(\frac{2+\mu }{2h^{2}}\) | \(\frac{-4-2\mu }{2h^{2}}\) | \(\frac{2+\mu }{2h^{2}}\) | 0 |