J²u น at2 = C 2 მ c² მე2 u(0,x) = 0,5m (0,x) = 0 ди Ət u(t, 0) = 0 u(t, L) = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A guitar string of size L oscillates following the partial differential equation shown in the image. Where u(t,x) is the deformation of the string with respect to the equilibrium state, the propagation constant c=1.5 m/s, L=1m. Solve numerically the partial differential equation, consider Δx=0,2 and  Δt=1

J²u น
at2
=
C
2
მ
c²
მე2
u(0,x) = 0,5m
(0,x) = 0
ди
Ət
u(t, 0) = 0
u(t, L) = 0
Transcribed Image Text:J²u น at2 = C 2 მ c² მე2 u(0,x) = 0,5m (0,x) = 0 ди Ət u(t, 0) = 0 u(t, L) = 0
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