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Consider the data in the following table: -1.0 -3.632 X u(x) O-3.2163 O -5.4931 O -6.9792 O 3.2163 -0.5 -0.3935 0.0 0.5 1.000 0.6487 1.0 -1.282 1.5 -4.518 2.0 -8.611 X 2.5 4.0 4.5 3.0 3.5 -15.91 -15.88 -9.402 9.017 u(x) -12.82 An estimate of the second derivative u "(x) at x = 0 using a 3-point central difference method is:

Consider the data in the following table: -1.0 -3.632 X u(x) O-3.2163 O -5.4931 O -6.9792 O 3.2163 -0.5 -0.3935 0.0 0.5 1.000 0.6487 1.0 -1.282 1.5 -4.518 2.0 -8.611 X 2.5 4.0 4.5 3.0 3.5 -15.91 -15.88 -9.402 9.017 u(x) -12.82 An estimate of the second derivative u "(x) at x = 0 using a 3-point central difference method is:

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 data in the following table: X -1.0 u(x) -3.632 -0.5 -0.3935 -3.2163 -5.4931 -6.9792 O 3.2163 0.5 0.0 1.000 0.6487 2.5 -12.82 X 4.5 3.0 3.5 4.0 -15.91 -15.88 -9.402 9.017 u(x) An estimate of the second derivative u "(x) at x = 0 using a 3-point central difference method is: 1.0 1.5 2.0 -1.282 -4.518 -8.611
Transcribed Image Text:Consider the data in the following table: X -1.0 u(x) -3.632 -0.5 -0.3935 -3.2163 -5.4931 -6.9792 O 3.2163 0.5 0.0 1.000 0.6487 2.5 -12.82 X 4.5 3.0 3.5 4.0 -15.91 -15.88 -9.402 9.017 u(x) An estimate of the second derivative u "(x) at x = 0 using a 3-point central difference method is: 1.0 1.5 2.0 -1.282 -4.518 -8.611
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