Heat Equation 1D
1D parabolic PDE inverse problem. Recovers thermal diffusivity α from sparse temperature measurements.
Problem
\[
\frac{\partial u}{\partial t} = \alpha \frac{\partial^2 u}{\partial x^2}
\]
Features Demonstrated
- PDE inverse problem (scalar parameter recovery)
- Sparse observation data
- Parabolic PDE handling
Results
