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

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(5) Derive Trapezoidal Error expression

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Ref: Lecture Notes p.28-1

Problem Statement

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Derive equation 1 from Lecture Notes p.27-1

Solution

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We have

and

and

Similarly

and

using above equations into first equation we obtain

but

So finally we obtain

(8) Obtain expressions for (P2,P3),(P4,P5),(P6,P7) Using recurrence formula

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Ref: Lecture Notes p.29-3

Problem Statement

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

Solution

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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