Plotting this pde versus x axis

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Ous Chkiri
Ous Chkiri 2019-11-6
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.

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