Example 3.  Determine the error in the Taylor Series method, by comparing it with the analytic solution.
Solution  3.

The Taylor Series Method computed a ListPlot.  We must use this same type of data structure for    in order to compare the two.  The subroutine stored the abscissas in a list T.  

Taking    will produce a list of ordinates.  

The error is just the difference.  

Plotting the data points for the error is similar to plotting the data points for the Taylor Series method solution.  

(c) John H. Mathews 2003