1.1 Homogeneous Heat PDE in 1D. bounded domain. (No source term)

  1.1.1 Pure diffusion. Both ends at zero temperature
   1.1.1.1 Example 1
   1.1.1.2 Example 2
   1.1.1.3 Example 3
   1.1.1.4 Example 4
  1.1.2 Pure diffusion. Left end at non zero temperature, right end zero temperature
   1.1.2.1 Example 1
  1.1.3 Pure diffusion. Both ends insulated
   1.1.3.1 Example 1
  1.1.4 Pure diffusion. Left end insulated, right end at non-zero temperature
  1.1.5 Diffusion-Reaction. Case when both ends insulated
  1.1.6 Pure diffusion. Left end nonhomogeneous time dependent Neumann, right end at zero temperature
  1.1.7 Pure diffusion. Left end nonhomogeneous and time dependent Dirichlet, right end at zero temperature
  1.1.8 Pure diffusion. Both ends at fixed non-zero temperature (not time dependent)
  1.1.9 Pure diffusion. Both ends at temperature that is time dependent
  1.1.10 Diffusion-Reaction. Both ends at zero temperature, no source. reaction term is \(xu(x,t)\)
  1.1.11 Diffusion-Convection. Both ends at zero temperature, no source. (also called advection)