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Exact solution for Burgers equation. How to write the matlab code with the given information? Multiple plots for different t's

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aquiano
aquiano 2016-10-17
回答： Mijiddorj Renchin-Ochir 2017-3-22
Code to plot in matlab. Multiple plots on one graph
The Family of Solutions are:
u(x,t)=(-2*sinh(x))/(cosh(x)-exp(-t))
u(x,0)=(-2*sinh(x))/(cosh(x)-1) As t->0
u(x,t)=-2tanh(x) As t->infinity
x=linspace[-6,6]
t= [.2 .5 1 .2]
Plot should look similar to attachment

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Mijiddorj Renchin-Ochir
x = -6:0.1:6; hold all axis([-6 6 -4 4]); t=0; u=(-2*sinh(x))./(cosh(x)-exp(-t)); plot(x,u,'--'); for t=0.2:0.5:1.2 u=(-2*sinh(x))./(cosh(x)-exp(-t)); plot(x,u); end

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