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I have the following pde (Burger's equation)

for $\epsilon>0: u_t+u.u_x=\epsilon.u_{xx}$ and $x\in \mathbb{R},t>0$

and the initial condition: $u(x,0)=\phi(x)=1_{(-\infty,0)}(x)$.

I want first to solve it (using matlab) for the case $\epsilon=0$, which is a first pde, and then for $\epsilon=0.1$ and $ \epsilon=0.001$.

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  • $\begingroup$ How do you want to solve it ? Finite difference ? Finite Volume ? Finite elements ? $\endgroup$ – BlaB Oct 22 '19 at 15:23
  • $\begingroup$ Just finite difference $\endgroup$ – Robert-ben Oct 23 '19 at 8:17
  • $\begingroup$ Hi, welcome to scicomp.stackexchange. To receive more help from the community you should report: what did you already try; what are the problem you find; what is your question (in the post I do not see it). $\endgroup$ – Mauro Vanzetto Oct 27 '19 at 17:04
  • $\begingroup$ Well I never programmed sadly that’s why I’m asking $\endgroup$ – Robert-ben Oct 27 '19 at 17:06

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