Burgers1D#
This example deals with the conservative form of the inviscid Burgers equation in 1D.
\[
\frac{\partial U}{\partial t} + \frac{\partial}{\partial x}\Big(\frac{U^2}{2}\Big) = 0
\]
with \(U = u(x,t)\) defined on the domain \(x\in[-15,15]\), from time \(t\in[0,10]\) and initial conditions
\[
u(x,0) = e^{\frac{-x^2}{50}}
\]
The wave is allowed to propagate across the domain while the area under the curve is calculated.
This example is implemented in: