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Consider the function f(x) = ₁²,2 € [1,1]. Construct the interpolation polynomial which interpolates the function f(x) at x = −1, ₁ = 0 and ₂ using the divided-differences method. 0 - 2+1 Ox O 0 - +1 O² +2 O 1/2²+ = 1

Consider the function f(x) = ₁²,2 € [1,1]. Construct the interpolation polynomial which interpolates the function f(x) at x = −1, ₁ = 0 and ₂ using the divided-differences method. 0 - 2+1 Ox O 0 - +1 O² +2 O 1/2²+ = 1

Advanced Engineering Mathematics
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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Consider the function f(x) = ₁², [-1,1]. Construct the interpolation polynomial which interpolates the function f(x) at x = −1, ₁ = 0 and ₂ using the divided-differences method. 0 - 2+1 Ox O 0 - +1 O² +2 O 1/2² +²=/r
Transcribed Image Text:Consider the function f(x) = ₁², [-1,1]. Construct the interpolation polynomial which interpolates the function f(x) at x = −1, ₁ = 0 and ₂ using the divided-differences method. 0 - 2+1 Ox O 0 - +1 O² +2 O 1/2² +²=/r
Find the first component (x, (2)) of second iteration of the Gauss - Seidel method for the following linear system, using the initial iteraion x(0) =0. X₁-x₂-3x₂=3, X₁-2x₂-8X9-3, 3x₁-x₂-3x₂=4. O 3 O -1 07 O 8 01
Transcribed Image Text:Find the first component (x, (2)) of second iteration of the Gauss - Seidel method for the following linear system, using the initial iteraion x(0) =0. X₁-x₂-3x₂=3, X₁-2x₂-8X9-3, 3x₁-x₂-3x₂=4. O 3 O -1 07 O 8 01
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