Module 3: Higher order Single Step Methods
  Lecture 8: Higher Order Methods
 

 

Trapezoidal Method

The trapezoidal method is obtained by using some other approximations to approximate the terms in Taylor's series.

For example, we have

(3.6)

Also,

) (3.7)

and so we can write (3.6) as

(3.8)

If the term is neglected and (3.8) is used to approximate the value of

we have the trapezoidal method

(3.9)