Module 7: Multistep Methods
  Lecture 20: Multistep Methods(Contd.)
 

 

Special Case q=1:

For , we have the formula

which gives the trapezoidal method.

iii) Nystrom's Method :

Here we set

(7.16)

where

(7.17)

This method is explicit and works much like the Adams-Bashforth method, except that now the increment of is calculated over two steps in place of one.