The following results w

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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Question
The following results were obtained in a certain experiment:
1
1.50
2
2.50
3
3.50
4
4.50
5
f(x)
230
345
436
527
500
773
864
955
1070
a) Use Romberg's algorithm to the order of O (h°) (evel 3) to obtain an
approximation of x² f(x ) dx
df(x)
atx = 5 with
dx
accuracy of O (h²).
b) Use the above table to determine
Transcribed Image Text:The following results were obtained in a certain experiment: 1 1.50 2 2.50 3 3.50 4 4.50 5 f(x) 230 345 436 527 500 773 864 955 1070 a) Use Romberg's algorithm to the order of O (h°) (evel 3) to obtain an approximation of x² f(x ) dx df(x) atx = 5 with dx accuracy of O (h²). b) Use the above table to determine
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