MFG

1. The struct tra is used to record information of a specific traffic model, see utils/model_step_up.m for its member variables and construction function.
2. Three models are simulated: (i) LWR; (ii) MFG_NonSeparable; (iii) MFG_Separable. The solutions are visualized in several formats. The folder utils contains utility functions for those tasks.

LWR

Solving the LWR model. Both the Lax-Friedrichs and Godunov solvers are provided. Run simu.m to simulate and plotfig_3d.m to plot the density evolution.

MFG_NonSeparable

Solving the MFG model with the non-separable cost function. Run simu.m to simulate and plotfig_3d.m to plot the density evolution. Run plotfig_traj.m to plot cars' trajectories. Run convergence.m to compute and plot the solution convergence.

MFG_Separable

Solving the MFG model with the separable cost function. Similar to MFG_NonSeparable.