h 1/27 (5 fn+1 +8fn - fn-1) Xn+1 = Xn + Discuss its local truncation error O(hP+1)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a)
b)
Xn+1 = Xn +
h
12
Discuss its local truncation error O(h²+1)
Discuss the zero stability of the method
·(5fn+1+8fn − fn−1)
Transcribed Image Text:a) b) Xn+1 = Xn + h 12 Discuss its local truncation error O(h²+1) Discuss the zero stability of the method ·(5fn+1+8fn − fn−1)
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