The 1D Linear Advection Equations are solved using a choice of five finite difference schemes (all explicit). First Order Upwind, Lax-Friedrichs, Lax-Wendroff, Adams Average (Lax-Friedrichs) and Adams Average (Lax-Wendroff).
A heuristic time step is used.
Periodic boundary conditions are used (solutions reappears at the opposite end of the figure window.
Dependent variable (pollutant concentration) is plotted at each time step.
The Adams Average scheme was devised by myself (James Adams) in 2014. In this program, it has been used to modify the Lax-Friedrichs and Lax-Wendroff schemes. Numerical experiments have shows that the Adams Average improves the performance of these schemes.