Plotting this pde versus x axis

Initial Value Problem

du/dt+du/dx=0

Domain:

-20<=x<=450

Initial Condition:

u(x,0)=0.5.*exp(-log(2).*(x/3)^2)

Analytical Solution:

u(x,t)=0.5.*exp(-log(2).*(x-t/3)^2)

The initial value problem represents a pulse that moves across the x axis with respect to time.

Mesh

Spacing of deltax=1

Time step of deltat=0.25s

As the initial value problem is only in 1 spatial dimension (x), the mesh will simply be a line with nodes. Given that our domain is , the linear mesh will have 471 spatial nodes.