By simplifying differential term into algebriac equations, some of the more complex problems can be solved numerically. In FDM, a mesh grid is created and the properties of each node in the grid will then be estimated using its neighbor nodes and its previous condition.
In this notebook, a simple 1D advection diffusion problem is solved with FDM.
- Creat a virtual environment. For example, in windows, open the cmd in a folder and type the command
python -m venv {any_name_you_like}. - Activate the venv by
{any_name_you_like}\Scripts\activate. - Install the requirements with
pip install -r requiremets.txt. - Open the jupyter note book in any IDE and set the kernel to the venv you just made.