01 - Euler Advection (1D)

This exercise introduces programming with Julia and the numerical solution of a partial differential equation.

The main objectives are to understand:

1. The discretization of the one-dimensional advection equation,
2. The approximation of differential operators using finite differences, and
3. The implementation and visualization of the solution in Julia.

The equation is solved using the explicit Euler method, and the resulting particle advection is illustrated in Figure 1.

Figure 1. One-dimensional particle advection computed with the Euler method.