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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
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.
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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