Consider the 1-D Burgers' equation in [-1,1] ди a?u дии + at The initial condition is: u(x, t = 0) = sin (2nx) Boundary conditions are: u(x = -1, t) = 0 u(x = 1, t) = 0 Calculate the slop at the middle point (x = 0). Plot the time history of the slop at the middle point. Use the x-axis as time and the y-axis as the slop.
Consider the 1-D Burgers' equation in [-1,1] ди a?u дии + at The initial condition is: u(x, t = 0) = sin (2nx) Boundary conditions are: u(x = -1, t) = 0 u(x = 1, t) = 0 Calculate the slop at the middle point (x = 0). Plot the time history of the slop at the middle point. Use the x-axis as time and the y-axis as the slop.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Consider the 1-D Burgers' equation in [-1,1]
ди
дии
at
дх
ax2
sin (2nx)
The initial condition is: u(x,t = 0):
Boundary conditions are: u(x = –1,t) = 0 u(x = 1, t) = 0
||
%3D
|
Calculate the slop at the middle point (x = 0). Plot the time history of the slop at the middle
point. Use the x-axis as time and the y-axis as the slop.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57c1a35d-db5c-4b7e-b74b-47e51305cab9%2Fb4b5ca82-7d2f-48d3-8297-07d0880bea6f%2Fbh7t8re_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the 1-D Burgers' equation in [-1,1]
ди
дии
at
дх
ax2
sin (2nx)
The initial condition is: u(x,t = 0):
Boundary conditions are: u(x = –1,t) = 0 u(x = 1, t) = 0
||
%3D
|
Calculate the slop at the middle point (x = 0). Plot the time history of the slop at the middle
point. Use the x-axis as time and the y-axis as the slop.
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