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(a) For the data given in the table below, calculate the second derivative at each data point using the finite-difference formulae with a truncation error of O(¹): -1 -0.5 0 0.5 1.5 2 2.5 3 3.5 4 4.5 f(x) -2.986 -0.3935 0.8538 0.6487 -1.282 -4.518 -9.309 -12.82 -15.91 -14.97 -9.402 7.428 X

(a) For the data given in the table below, calculate the second derivative at each data point using the finite-difference formulae with a truncation error of O(¹): -1 -0.5 0 0.5 1.5 2 2.5 3 3.5 4 4.5 f(x) -2.986 -0.3935 0.8538 0.6487 -1.282 -4.518 -9.309 -12.82 -15.91 -14.97 -9.402 7.428 X

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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(a) For the data given in the table below, calculate the second derivative at cach data point using the finite-difference formulae with a truncation error of O(h): -1 -0.5 0.5 1.5 2.5 3.5 4.5 Cix) -2.986 -0.3935 0.8538 0.6487 -1.282-4.518 -9.309-12.82 -15.91-14.97 -9.402 7.428
Transcribed Image Text:(a) For the data given in the table below, calculate the second derivative at cach data point using the finite-difference formulae with a truncation error of O(h): -1 -0.5 0.5 1.5 2.5 3.5 4.5 Cix) -2.986 -0.3935 0.8538 0.6487 -1.282-4.518 -9.309-12.82 -15.91-14.97 -9.402 7.428
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