ABSTRACT
The first and second derivatives of a Newton forward-difference polynomial are given by Egs. (5.26) and (5.27), respectively:
The extrapolation formulas are given by Egs. (5.ll6b) and (5.117).
Error(h/2) = t[f'(h/2) - f'(h)] Extrapolated value = f'(h/2) + Error(h/2)
(5. I24a)
(5.l24b)
(5.l25a) (5.l25b)
A FORTRAN subroutine, subroutine deriv, for evaluating Egs (5.124) and (5.125) for P2(X) is presented in Program 5.4. It defines the data set and prints it, calls subroutine deriv to implement the solution, and prints the solution.
