Linear Convection Solving and grid size effect on it

Objective: Background: The wider perspective is to solve the 1-dimensional linear convection equation. This comes from the two-dimensional momentum equation assuming the same shape to make it a simpler PDE. `(∂u)/(∂t)+c(∂u)/(∂x)=0` Aim: Our objective is to solve the PDE through MatLab code and compare the…