U+1 = U" + µ (U– 2U + U",) , 1 0}, {U%, :n > 0} Find the local truncation error when 1) miu is not equal to 1/6 and 2) miu = 1/6

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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1
U+1 = U" +µ (U1 – 2U" + U1) ,
1<i< M – 1,
n 2 0,
-
i
where u = At/(Ax)² and {Uf : 0 < i < M}, {U³ :n > 0}, {U% : n >
0}
Find the local truncation error when 1) miu is not equal to 1/6 and 2) miu = 1/6
Transcribed Image Text:U+1 = U" +µ (U1 – 2U" + U1) , 1<i< M – 1, n 2 0, - i where u = At/(Ax)² and {Uf : 0 < i < M}, {U³ :n > 0}, {U% : n > 0} Find the local truncation error when 1) miu is not equal to 1/6 and 2) miu = 1/6
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