Physics 212, 2018: Lecture 24

From Ilya Nemenman: Theoretical Biophysics @ Emory
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Back to Physics 212, 2018: Computational Modeling.

The heat diffusion equation -- one of many partial differential equations (differential equations involving partial derivatives).

  • Fick's first law of diffusion or (also known as Newton's law of cooling if , or the Fourier law of heat conduction)
  • Fick's second law of diffusion .
  • Finite difference form of the heat diffusion equation; need boundary conditions to complete the solution
  • Boundary conditions (implemented with extending the grid matrix):
    • Absorbing
    • Reflecting
    • Peeriodic
  • Solution of the equation using Python code.