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Heat Equation 1D

anypinn create my-project --template heat-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

Heat 1D results