Question: plot3d and the solution of a system of coupled PDEs

Hi guys,

 

Maple solved numerically the following system of two coupled PDEs.


PDE1 := diff(a(x,t),t) = - 2*a(x,t) + 1*b(x,t)
- exp(- 1/(1 - (x-0.5)^2))*( diff(a(x,t),x,x) + a(x,t)*diff(b(x,t),x,x) - b(x,t)*diff(a(x,t),x,x) );

PDE2 := diff(b(x,t),t) = - 1*b(x,t) + 2*a(x,t)
- exp(- 1/(1 - (x-0.5)^2))*( diff(b(x,t),x,x) - a(x,t)*diff(b(x,t),x,x) + b(x,t)*diff(a(x,t),x,x) );

IC := [ a(x,0)=exp( - 1/(1 - (x-0.5)^2)), b(x,0)=0, a(0,t)=0, b(0,t)=0, a(1,t)=0, b(1,t)=0];

SOL:=pdsolve([PDE1,PDE2],IC,numeric,time=t,range=0..1,spacestep=1/200,timestep=50);

 

My only problem now is that

SOL:-plot3d(x=0..1,t=0..1,axes=normal);

plots only one of the two functions (I even do not know which one exactly). How can I tell Maple to plot a and b simultanously? If this is not possible, how can I specify the function which is to be plotted?

Would be great if someone could help.

Greetings,

Herold

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