Question: I'm back with my heat transfer problem

This question is related to the Question 1D: two (or three?) domain diffusion equation - numeric


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.


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