A New Fractional Representation of the Higher Order Taylor Scheme

Algorithm 1

-FHOTM.

1: Start

2: Define function

3: Read initial values of ( and ), the value of (), number of steps () and calculation point ()

4: Calculate step size

5: Set

6: Loop

7: 

8: 

9: 

10: while do

11:   Display as result

12: end while

13: Stop