Burgers Equation 1D

anypinn create my-project --template burgers-1d

1D nonlinear PDE with shock formation. Recovers viscosity ν with adaptive collocation.

Problem

\[ \frac{\partial u}{\partial t} + u \frac{\partial u}{\partial x} = \nu \frac{\partial^2 u}{\partial x^2} \]

Features Demonstrated

• Adaptive collocation via AdaptiveCollocationCallback
• Shock-forming nonlinear PDE
• Scalar parameter recovery (viscosity)

Results