iii. Is the 3-points forward differon formula appropriate to e Consider the following data: o estimate & UTM r 0.4 0.6 0.8 y1.63 2.22 3.35 4.79 5.05 UT i. Approximate f"(0.8) using 5-points difference formula, ii. Estimate the f (0.4) by using 3-points forward difference formula. UTM UTM UTM UTM iii. Is the 3-points forward difference formula appropriate to estimate f'(1.0). State the reason.
iii. Is the 3-points forward differon formula appropriate to e Consider the following data: o estimate & UTM r 0.4 0.6 0.8 y1.63 2.22 3.35 4.79 5.05 UT i. Approximate f"(0.8) using 5-points difference formula, ii. Estimate the f (0.4) by using 3-points forward difference formula. UTM UTM UTM UTM iii. Is the 3-points forward difference formula appropriate to estimate f'(1.0). State the reason.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Pls answer all parts immediately
Transcribed Image Text:a) Consider the following data:
UTM UTM
& UTM
x 0.4
UT
0.6
0.8
y 1.63 2.22 3.35 4.79 5.05
1.0
27UTM UTM
ii. Estimate the f' (0.4) by using 3-points forward difference formula.
SUTM
UTM UT
UTM
UTMUTM
f'(1.0). State the reason.
UTM
b) Consider the matrix
d UTM UT
UTM UTM
6 UTM UTM UTM
21
AUT
A =
-1
5
4
i. Compute the dominant eigenvalue, A1 and the corresponding eigen-
5UTM UTM UTM
TM &UTM 5 UT
vector x1 for the matrix A using power method starting with
x = (1,1,1)" and stop the iterations when |m41-m| < 0.05.
UTM &UT
UTM
ii. Determine the smallest eigenvalue, A, for matrix A by using shifted
& UTMUTM UTM
UTM
power method based on the results in (i). Start the iteration
UTM UT
- X'
%3D
UTM UTM UTM
UTM UT
UTM UT
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