Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 Values of \(B_{i} ( z )\), \(B_{i}^{\prime} ( z )\), and \(B_{i}^{\prime\prime} ( z )\) at the knots

From: Numerical approximation for the solution of linear sixth order boundary value problems by cubic B-spline

	\(B_{i} ( z )\)	\(B_{i}^{\prime} ( z )\)	\(B_{i}^{\prime\prime} ( z )\)
\(z_{i - 2}\)	0	0	0
\(z_{i - 1}\)	1/6	1/2h	\({1/h}^{{2}}\)
\(z_{i}\)	4/6	0	\({-2 / h}^{{2}}\)
\(z_{i + 1}\)	1/6	−1/2h	\({1 / h}^{{2}}\)
\(z_{i + 2}\)	0	0	0
Else	0	0	0

Back to article page