Module 7: Multistep Methods
  Lecture 24: Special 2nd order equations(Contd.)
 

 

which leads to the recurrence relation as

Some numerical values of are given as under:

m

0

1

2

3

4

5

6

4

-4

0

Formula (7.48) is explicit. It is not recommended for For there results the simple and relatively accurate formula

(7.51)

Since , the same formula results also from picking the value

Another set of formulas is derived by choosing in (7.37).