Scripted HTML version of Foils prepared 11 November 1996

Foil 6 Examples of Different Types of Partial Differential Equations:
The Parabolic Equation

From CPS615-Basic PDE Solver Discussion and Sparse Matrix Formulation Delivered Lectures of CPS615 Basic Simulation Track for Computational Science -- 8 November 96. by Geoffrey C. Fox *
Secs 92.1
This is a heat or other type of diffusion equation lying intermediate between elliptic and hyperbolic equations
where y is temperature
  • k = K/Cr is the rate of heat diffusion
  • and K is thermal conductivity
  • C is specific heat
  • r is the density

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