Question-1: The values in the table given below are calculated by means of function f (x) = x'+0,4·x² +x. 0,2 0,3 0,4 0,5 0,6 f(x) 0,224 0,363 0,528 0,725 0,960 a) From the above data set, calculate f(0,28) with finite difference interpolation. b) Calculate the absolute error of the result according to the actual value from the givem function.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question-1: The values
function f (x) = x'+0,4·x² +x.
in the table given below
calculated by means
of
are
0,2
0,3
0,4
0,5
0,6
X
f(x)
0,224
0,363
0,528
0,725
0,960
a) From the above data set, calculate f(0,28) with finite difference interpolation.
b) Calculate the absolute error of the result according to the actual value from the given
function.
Transcribed Image Text:Question-1: The values function f (x) = x'+0,4·x² +x. in the table given below calculated by means of are 0,2 0,3 0,4 0,5 0,6 X f(x) 0,224 0,363 0,528 0,725 0,960 a) From the above data set, calculate f(0,28) with finite difference interpolation. b) Calculate the absolute error of the result according to the actual value from the given function.
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