Calculations for Finding E1(f) and E2(f) for Example 5.1. Compare the maximum error, average error, and rms error for the linear Table 5,1 Example 5.1 Yk f(xx) =8.6-1.6x leal 10.0 10.2 0.2 9.0 8.6 0.04 0.4 7.0 7.0 0.16 0.0 5.0 5.4 0.00 0.4 0.16 3. 4.0 3.8 0.2 0.04 0.64 0.36 3.0 2.2 mek 08 0.6 0.0 0.6 6. -1.0 -1.0 0.0 0.00 2.6 1.40 f() = 8.6- 1.6x to the data points (-1, 10), (0,9), (1, 7), (2, 5). %3D approximation y = rors are found using the values for f

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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approximation y f(x) 8.6 1.6x to the data points (-1, 10), (0,9), (1,7), (2,5).
Calculations for Finding E1(f) and E2(f) for
254
The errors are found using the values for f(x) and e given in Tahle 51
Example 5.1. Compare the maximum error, average error, and rms error for the linear
Table 5.1
Example 5.1
Yk
f(xx) =8.6-1.6x
%3D
lexl
-1
10.0
10.2
0.2
9.0
8.6
0,04
0.4
7.0
0.16
7.0
5.4
0.0
0.4
5.0
0.00
4.0
0.16
3.8
2.2
3
3.0
0.2
0.04
mek 0.8
0.6
0.0
0.64
0.36
0.00
0.0
0.6
6.
-1.0
-1.0
2.6
1.40
%3D
|
%3D
Transcribed Image Text:approximation y f(x) 8.6 1.6x to the data points (-1, 10), (0,9), (1,7), (2,5). Calculations for Finding E1(f) and E2(f) for 254 The errors are found using the values for f(x) and e given in Tahle 51 Example 5.1. Compare the maximum error, average error, and rms error for the linear Table 5.1 Example 5.1 Yk f(xx) =8.6-1.6x %3D lexl -1 10.0 10.2 0.2 9.0 8.6 0,04 0.4 7.0 0.16 7.0 5.4 0.0 0.4 5.0 0.00 4.0 0.16 3.8 2.2 3 3.0 0.2 0.04 mek 0.8 0.6 0.0 0.64 0.36 0.00 0.0 0.6 6. -1.0 -1.0 2.6 1.40 %3D | %3D
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