Use FDM to solve the wave equation d'u 9 ô'u 00, 4 ôx 2 with the boundary conditions u(0,t) = 0, u(1,t)=0, and the initial conditions: 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use FDM to solve the wave equation
d’u 9 d'u
0 <x <1, t > 0,
4 дх 2
with the boundary conditions u(0,t) = 0, u(1,t) = 0,
and the initial conditions:
|x,
(1-x, 1/2<x<1
for h =1/4 , k =1/6 , upto time level 4.
0 <x<1/2
и, (х, 0) %3D 0, и(х,0) %3
at t=0.
Transcribed Image Text:Use FDM to solve the wave equation d’u 9 d'u 0 <x <1, t > 0, 4 дх 2 with the boundary conditions u(0,t) = 0, u(1,t) = 0, and the initial conditions: |x, (1-x, 1/2<x<1 for h =1/4 , k =1/6 , upto time level 4. 0 <x<1/2 и, (х, 0) %3D 0, и(х,0) %3 at t=0.
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