numerical analysis question/f(x) =xex. be given as. Obtain the results of the second order finite difference formulas (central, forward and backward) for the second derivative at x = 2 for the step value ℎ = 0.1. Calculate the truncation error for each finite difference formula. Obtain the finite difference formulas using the tables given below. Use 3 decimal places after the comma.
numerical analysis question/f(x) =xex. be given as. Obtain the results of the second order finite difference formulas (central, forward and backward) for the second derivative at x = 2 for the step value ℎ = 0.1. Calculate the truncation error for each finite difference formula. Obtain the finite difference formulas using the tables given below. Use 3 decimal places after the comma.
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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numerical analysis question/f(x) =xex. be given as. Obtain the results of the second order finite difference formulas (central, forward and backward) for the second derivative at x = 2 for the step value ℎ = 0.1. Calculate the truncation error for each finite difference formula. Obtain the finite difference formulas using the tables given below. Use 3 decimal places after the comma.
Transcribed Image Text:2hf (x)
hafu(x)
2h³ f(x)
hofw(x)
2hf (x)
h²fu(x)
2h³f™ (x)
hif(x)
hf (x)
h²f(x)
h³ f(x)
hif(x)
f(x)
-3
2
f(x-2h)
4
3
-2
| -1
f(x-h)
-1
1
2
4
3
11
-1
4
26
f(x)
f(x+h) f(x+2h)f(x+3h) f(x+4h) f(x+5h)
4
-5
18
5
-2
-14
-24
6
f(x-5h) f(x-4h) f(x-3h) f(x - 2h)
1
7
f(x+h) f(x+ 2h).
1
1
-2
-4
14
-3
f(x-h)
1
1
-5
-18
-14
-2
f(x)
3
2
5
3
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