With the boundary conditions: ди дх - (0,y) = ди - (a, y) дги аги + дх2' дуг дх = 0 ди (x, 0) = 0 , t > 0 u(x,b) = f (x) ду ==

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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solve the following elliptic neumann partial differential equation for the steady state temperature distribution over a thin rod of length L.

The boundary conditions are:

 

With the boundary conditions:
ди
дх
- (0,y)
=
ди
- (a, y)
дги аги
+
дх2' дуг
дх
= 0
ди
(x, 0) = 0 , t > 0 u(x,b) = f (x)
ду
==
Transcribed Image Text:With the boundary conditions: ди дх - (0,y) = ди - (a, y) дги аги + дх2' дуг дх = 0 ди (x, 0) = 0 , t > 0 u(x,b) = f (x) ду ==
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