dy d'y Q3(a) Find at x=P p+0.5, Using Newton's forward interpolation dx' dx? formula, from the given data: P=3 |x| P р+1 | р+2 р+3| р+4 y 5 6.8 10 12.5 14

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3.a

dy d'y
Q3(a) Find
at x=P p+0.5, Using Newton's forward interpolation
dx' dx?
formula, from the given data:
P=3
|x| P р+1 | р+2 р+3| р+4
y 5
6.8
10
12.5
14
Transcribed Image Text:dy d'y Q3(a) Find at x=P p+0.5, Using Newton's forward interpolation dx' dx? formula, from the given data: P=3 |x| P р+1 | р+2 р+3| р+4 y 5 6.8 10 12.5 14
Expert Solution
Step 1

a) Construct a forward difference table and we use Newton’s forward interpolation formula since x=p=4 and x=p+0.5=4.5 lies within the first half of mid value of x

Step 2

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