Q2). Consider the function f(x)=sin(x) on the interval [0,1]. Use theorem (Error Bounds for Lagrange Interpolation, Equally Spaced Node) to determine the step size h so that. Linear Lagrange interpolation has an accuracy of 10°.
Q2). Consider the function f(x)=sin(x) on the interval [0,1]. Use theorem (Error Bounds for Lagrange Interpolation, Equally Spaced Node) to determine the step size h so that. Linear Lagrange interpolation has an accuracy of 10°.
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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![Q2). Consider the function f(x)=sin(x) on the interval [0,1]. Use theorem (Error Bounds for Lagrange
Interpolation, Equally Spaced Node) to determine the step size h so that. Linear Lagrange interpolation has
an accuracy of 10°.
Q3). Construct a difference table (forward, backward & shift) formula for the data
X
0.2
0.4
0.6
0.8
f(x) 0.55
and use to find f(0.23) and f(0.995).
0.82
1.15
1.54
1.99](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F95a774eb-31f3-4ac2-97ad-eb778efb39eb%2Feaf985f6-9017-4d58-a63c-5fff6f478623%2Fm7zm6eed_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q2). Consider the function f(x)=sin(x) on the interval [0,1]. Use theorem (Error Bounds for Lagrange
Interpolation, Equally Spaced Node) to determine the step size h so that. Linear Lagrange interpolation has
an accuracy of 10°.
Q3). Construct a difference table (forward, backward & shift) formula for the data
X
0.2
0.4
0.6
0.8
f(x) 0.55
and use to find f(0.23) and f(0.995).
0.82
1.15
1.54
1.99
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