Use the rules of thumb for order of convergence to approximate the number of iterations it will take to achieve 12 significant digits of accuracy of r for each order of convergence. Assume each sequence starts with one significant digit of accuracy. ( a) α1, λ0.8 (b) a = 1, A = 0.5 (S) ( c) α1, λ0.1 %3D (d) a = 1.5 [A] ( e) α-2 Α a =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use the rules of thumb for order of convergence to
approximate the number of iterations it will take to
achieve 12 significant digits of accuracy of r for each
order of convergence. Assume each sequence starts with
one significant digit of accuracy.
(a) a = 1, A = 0.8
(b) a = 1, A = 0.5 (S]
( c) α1, λ0.1
0.5 IS]
%3D
(d) a = 1.5
( e) α-2 A
a =
[A]
Transcribed Image Text:Use the rules of thumb for order of convergence to approximate the number of iterations it will take to achieve 12 significant digits of accuracy of r for each order of convergence. Assume each sequence starts with one significant digit of accuracy. (a) a = 1, A = 0.8 (b) a = 1, A = 0.5 (S] ( c) α1, λ0.1 0.5 IS] %3D (d) a = 1.5 ( e) α-2 A a = [A]
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