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Question: 3D animation of solutions of PDES.

Question:3D animation of solutions of PDES.

student_1 305
animation pde pdsolve 3d differential-equations plotting
July 06 2019
1

I want to write a code for 3D animation of solutions of PDEs.  Specially, I wonder 3D animation of wave equations etc.

Example: I can write a code for 2d animation but not write 3d animation.

a:=-2:
b:=2:
alpha:=0.1:
beta:=1:
pde:=diff(uu(x,t),t)=alpha*diff(uu(x,t),x,x)+beta*uu(x,t)*(1-uu(x,t));
IC:=uu(x,0)=(sech(10*x))^2;
BC:=uu(a,t)=0,uu(b,t)=0;  

s:=pdsolve(pde,{IC,BC},numeric ,timestep=1/100, spacestep=1/100);
s :- animate( uu(x,t) ,t=0..tbas, frames=40, labels=["x", "u(x,t)"], labelfont=[TIMES,ROMAN,14]); 
g3:=s :- plot3d(uu(x,t), x=-xbas..xbas,t=0..tbas, shading=zhue, axes=boxed, labels=["x","t","u(x,t)"], labelfont=[TIMES,ROMAN,16]);

 But how to write a code for 3d animation?

Thanks.

 
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