Cônsider the BVP u =n?cos(nt),0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the BVP
u =n?cos(nt),0<t<1, u(0) =1, u(1) = -1.
Using the central difference quotients and 3 equally spaced nodes gives
A(
U2
where
u=u(ih). Determine the 2 x 2 matrix A
OA, -18 9
).
-18 9
O B., -2 1
1 -2'
Oc, -1 -2
1 2
D., -18 9
-18
Transcribed Image Text:Consider the BVP u =n?cos(nt),0<t<1, u(0) =1, u(1) = -1. Using the central difference quotients and 3 equally spaced nodes gives A( U2 where u=u(ih). Determine the 2 x 2 matrix A OA, -18 9 ). -18 9 O B., -2 1 1 -2' Oc, -1 -2 1 2 D., -18 9 -18
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