Answered: Example 2: Find the steady-state…

Example 2: Find the steady-state temperature u(r,0) in a semicircular plate. The boundary value problem is a²u¸ 1 ðu +-+ ər² ' r ər ' r2 a02 1 a²u = 0, 0<0 < T, 0

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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Question

Example 2: Find the steady-state temperature u(r,0) in a semicircular plate.
The boundary value problem is
д?и 1 ди 1 д?и
+-
ər?
: 0, 0<0 <t,
0<r<c
r ər ' r² a0²
и(с, 0) %3D ио,
0 < 0 <n
=
u(r,0) = 0,
u(r,n) = 0,
0<r<c
%3D

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