Use central difference approximations in space to decouple the following space-time PDE: ди a²u Ju C1 + C₂ a Ət 9t2 |მე2 +f(x,t)=0 Subject to the following BCs: Use 5 nodes in space. u(0)=0; (1)=0

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.6P
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Use central difference approximations in space to decouple the following space-time PDE:
ди
a²u
Ju
C1
+ C₂
a
Ət
9t2
|მე2
+f(x,t)=0
Subject to the following BCs:
Use 5 nodes in space.
u(0)=0;
(1)=0
Transcribed Image Text:Use central difference approximations in space to decouple the following space-time PDE: ди a²u Ju C1 + C₂ a Ət 9t2 |მე2 +f(x,t)=0 Subject to the following BCs: Use 5 nodes in space. u(0)=0; (1)=0
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