Burgers 1D

Solves the conservative form of the inviscid Burger's Equation in 1D.

\[\frac{\partial }{\partial t} U + \frac{\partial}{\partial x} \left(\frac{U^{2}}{2}\right)=0\]

with $U = u(x,t)$ defined on the domain $x \in [-15,15]$, from time $t \in [0,10]$ and initial condition

\[u(x, 0) = e^{\frac{-x^{2}}{50}}\]

The wave is allowed to propagate across the domain while the area under the curve is calculated.

This example is implemented in burgers1D.jl