Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision Schemes

Figure 1

Interpolatory basis function 𝜙₃(𝑖) is shown in (a), first derivative of 𝜙₃(𝑖) i-e. 𝜙^′₃(𝑖) shown in (b), second derivative of 𝜙₃(𝑖) i-e. 𝜙₃^′′(𝑖) shown in (c), and third derivative of 𝜙₃(𝑖) i-e. 𝜙₃^′′′(𝑖) shown in (d), respectively.

(a)

(b)

(c)

(d)