How much can you reduce the error in Prob. 13 by halfing h (20 steps, h =

Question:

How much can you reduce the error in Prob. 13 by halfing h (20 steps, h = 0.05)? First guess, then compute.

Data from Prob. 13

Using Prob. 12, solve y' = 2xy, y(0) = 1 (10 steps, h = 0.1, RK starting values). Compare with the exact solution and comment.

Data from Prob. 12

h (23f,- 16fn-1 + 5fn-2), * yn+1 = Yn + h Yn+1 = Yn + (5fn+1 + 8fn – n-1). 12

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Advanced Engineering Mathematics

ISBN: 978-0470458365

10th edition

Authors: Erwin Kreyszig

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Question Posted: Dec 24, 2018 10:56 AM

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How much can you reduce the error in Prob. 13 by halfing h (20 steps, h =

Question:

h (23f,- 16fn-1 + 5fn-2), * yn+1 = Yn + h Yn+1 = Yn + (5fn+1 + 8fn – n-1). 12

Step by Step Answer:

y exp x 2 Some of the values and errors are The errors differ by a factor of 4 ...View the full answer

Advanced Engineering Mathematics

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