Question: 1D: two (or three?) domain diffusion equation - numeric

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,
BC2:=T(x1+x2,t)=D[1](T)(x1+x2,t)=-10*(T(x1+x2), t)-298)/lambda2),


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