University of Florida/Egm6341/s10.team3.aks/HW5

From Wikiversity
Jump to navigation Jump to search

(5) Derive Trapezoidal Error expression[edit]

Ref: Lecture Notes p.28-1

Problem Statement[edit]

Derive equation 1 from Lecture Notes p.27-1

Solution[edit]

We have

and

and

Similarly

and

using above equations into first equation we obtain

but

So finally we obtain

(8) Obtain expressions for Using recurrence formula[edit]

Ref: Lecture Notes p.29-3

Problem Statement[edit]

Obtain expressions for using eq (6) Lecture Notes p.29-2

Solution[edit]

Using eq (6) from Lecture Notes p.29-3 , we obtain

so

where

where from previous result

Using eq (6) from Lecture Notes p.29-3 , we obtain

By using eq 6 from Lecture Notes p.29-3 , we obtain