Numerical Analysis, Books A La Carte Edition (3rd Edition)
Numerical Analysis, Books A La Carte Edition (3rd Edition)
3rd Edition
ISBN: 9780134697338
Author: Timothy Sauer
Publisher: PEARSON
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Chapter 7.2, Problem 6CP

Solve the nonlinear BVP

4 y = t y 4 ,

y ( 1 ) = 2 ,

y ( 2 ) = 1 by finite differences. Plot the approximate solution for n = 15 . Compare your approximation with the exact solution y ( t ) = 2 / t to make a log-log plot of the error at t = 3 / 2 for n = 2 p 1 , p = 2 , ... , 7 .

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Numerical Analysis, Books A La Carte Edition (3rd Edition)

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