Apply Neville's method to the data by constructing a recursive table of the form of Q notations. f(0.9) iff (0.6)=-0.17694460, f (0.7) = 0.01375227, f (0.8) = 0.22363362, f(1.0) =0.65809197. %3D
Apply Neville's method to the data by constructing a recursive table of the form of Q notations. f(0.9) iff (0.6)=-0.17694460, f (0.7) = 0.01375227, f (0.8) = 0.22363362, f(1.0) =0.65809197. %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![1. Apply Neville's method to the data by constructing a recursive table of the
form of Q notations.
f(0.9) if f (0.6) = -0.17694460, f (0.7) = 0.01375227, f (0.8) = 0.22363362,
f(1.0) =0.65809197,
Use the given data in questions 2, 3 and 4.
0.0
0.2
0.4
0.6
0.8
2.0000 2.321 2.691 2.422 3.4255
f (x)
40
82
12
4
2. Use the Newton forward-difference formula to approximate f (0.05).
3. Use the Newton backward-difference formula to approximate f (0.65).
4. Use Stirling's formula to approximate f (0.43).
A natural cubic spline S on [0,2] is defined by
Solx) = 1+2r -x'.
S.)=2+b(x - 1)+c(x - 1) + d(x - 1). if Isxs2.
if 0sx< 1.
S(x) =
Find b, c, and d.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbbe61dd4-bd67-4d71-a567-3de9d996062e%2F658b3b6c-dc5e-44b9-b243-888070419982%2Ftp4fyil_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Apply Neville's method to the data by constructing a recursive table of the
form of Q notations.
f(0.9) if f (0.6) = -0.17694460, f (0.7) = 0.01375227, f (0.8) = 0.22363362,
f(1.0) =0.65809197,
Use the given data in questions 2, 3 and 4.
0.0
0.2
0.4
0.6
0.8
2.0000 2.321 2.691 2.422 3.4255
f (x)
40
82
12
4
2. Use the Newton forward-difference formula to approximate f (0.05).
3. Use the Newton backward-difference formula to approximate f (0.65).
4. Use Stirling's formula to approximate f (0.43).
A natural cubic spline S on [0,2] is defined by
Solx) = 1+2r -x'.
S.)=2+b(x - 1)+c(x - 1) + d(x - 1). if Isxs2.
if 0sx< 1.
S(x) =
Find b, c, and d.
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