The advection diffusion equation is the partial differential equation $\frac{\partial C}{\partial t} = D\frac{\partial^2 C}{\partial x^2} - v \frac{\partial C}{\partial x}$ with the boundary conditions $\lim_{x \to \pm \infty} C(x,t)=0$ and initial condition $C(x,0)=f(x).$
C(x,t)=Q/(2*square-root(D*pi*t))*exp((-(x-v*t)^2)/4*D*t), Q is the mass.
Here D is the diffusivity and v is the advection velocity. How can plot with Matlab or Maple for Q = 1 and D = 1, C(x, t) at t = 1 for v = 0, v = 0.1 and v = 1.0. Superimpose the three curves on the one axis.
Thanks for any help.