Partial differential equations, chapter 10
- Set up diffusion, Poisson and wave equations up to 2 spatial dimensions and time
- Set up the mathematical model and algorithms for these equations, with boundary and initial conditions. The stability conditions for the diffusion equation.
- Explicit, implicit and Crank-Nicolson schemes, and how to solve them. Remember that they result in triangular matrices (project 5-diffusion).
- Diffusion equation in two dimensions (project 5-diffusion).
- Poisson equation in two dimensions (project 5-diffusion)
- How to make equations dimensionless or scale them properly (project 5-diffusion)