Solving PDEs#
Here we show how the discretize package can be used to solve partial differential equations (PDE) numerically by employing the finite volume method. To solve a PDE numerically we must complete the following steps:
Formulate the problem; e.g. the PDE and its boundary conditions
Apply the weak formulation by taking the inner product of each PDE with a test function
Formulate a discrete set of equations for the inner products according to the finite volume method
Use the discrete set of equations to solve for the unknown variable numerically
