1D_PDE

Explorations in solding PDEs in one spatial dimention

Structure

Grid

• Class containg grid info: structured / unstructured, dx, num elemts, etc
• Array containing the coorinates of points

Spatial Discretization

• Define representation of solution on cell (class fxn)
• Precompute geometric arrays (class fxn to generate arrays)

Equation

• Define fluxes (class functions)
• Designate character of PDE (clas attr)
• Attempt to make as general as possible

Solver (if applicable)

• Module with different methods

Temporal Discretization

• Functions which integrate forwards in time