Hi!

I enclosed solution of 1D heat transfer problem which was solved by MAPLE and MATHCAD 15.
I assume exacly the same data, IC and BC.
Results are different:

Maple - wrong!

Mathcad - right!

I confirmed solution with FEA system.

Could you advice me!

Mathcad_-_PDE_rozwia.pdf

Hi!

Thanks to Robert Israel, I have solved my problematic PDE. 
Unfortunately it seems that solution is incorrect.
I have compared with FEA system and obtained different results.
I'm not sure but  probably point is in boundary condition (see lambda3) and I don't know
if we should not use a set of PDE's.

I will be try further but if somebody helps me I will be appreciated.
I enclosed file with calculations.

Regards
wzel

How to solve with numeric pdsolve?

first domain: from 0 to x1 (for example: from 0 to 0.2), thermal diffusivity, a1=1*10^(-6), lambda1=3
second domain: from x1 to x2 (for example: from 0.2 to 0.3), thermal diffusivity, a2=5*10^(-7),lambda2=1
IC:=T(x,0)=298 for both domain,
BC1:=T(0,t)=1200;
BC2:=T(x1+x2,t)=D[1](T)(x1+x2,t)=-10*(T(x1+x2), t)-298)/lambda2),

Regards
wzel