1. Calculate the velocity of the shock wave for Burger's equation: ди (x, t) + u(x,t)(u(x, t)) = 0 at ax For the specific initial conditions: (ur = 3: x > 0 (ui = 2 : x < 0 u(x,0) = u,(x) = %3D %3D %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Calculate the velocity of the shock wave for Burger's equation:
ди
(x, t) + u(x,t) (u(x, t)) = 0
at
For the specific initial conditions:
и(х,0) %3D ио(x)%3
(и, 3D 3: х 0
(u̟ = 2 : x < O
Transcribed Image Text:1. Calculate the velocity of the shock wave for Burger's equation: ди (x, t) + u(x,t) (u(x, t)) = 0 at For the specific initial conditions: и(х,0) %3D ио(x)%3 (и, 3D 3: х 0 (u̟ = 2 : x < O
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