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Question: Analytical Solution

Question:Analytical Solution

manohar6 10 Maple
pde pdsolve
July 09 2011
0

Hi all,

 I am trying to solve a system of pde's to get an analytical solution in maple. here's the system:

pde1:=diff(Ti(r,t),t)=(1/r)*diff(r*diff(Ti(r,t),r),r);

bc1:=Ti(r,0)=1,D1(Ti)(0,t)=0,D1(Ti)(1,t)=D1(To)(1,t);

pde2:=diff(To(r,t),t)=(1/r)*diff(r*diff(To(r,t),r),r);

bc2:=To(r,0)=0,D1(To)(1,t)=D1(Ti)(1,t),D1(To)(1.5,t)=0;

sys:=[pde1,pde2,bc1,bc2];

sol:=pdsolve(pde);

Error, (in pdsolve/sys) the input system cannot contain equations in the arbitrary parameters alone; found equation depending only on {_F1(t), _F2(t)}: -_F1(t)+_F2(t)

 

I am unable to solve the above system to get an analytical solution. what's wrong with the above system?

 

Thanks,

 

manohar 

 

 

 

 

 

 
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