The Numerical Solution of Linear Sixth Order Boundary Value Problems with Quartic B-Splines

Table 1

The values of 𝑁^(𝑘)_𝑖,4(𝑥) at the knots.

	𝑥𝑖−1	𝑥𝑖	𝑥𝑖+1	𝑥𝑖+2	Otherwise
𝑁𝑖,4(𝑥)	1/24	11/24	11/24	1/24	0
𝑁^′𝑖,4(𝑥)	1/6ℎ	3/6ℎ	−3/6ℎ	−1/6ℎ	0
𝑁^′′𝑖,4(𝑥)	1/2ℎ^2	−1/2ℎ^2	−1/2ℎ^2	1/2ℎ^2	0
𝑁^′′′𝑖,4(𝑥)	1/ℎ^3	−3/ℎ^3	3/ℎ^3	−1/ℎ^3	0