Steady state heat conduction problem

[udvat]

I have to solve a problem regarding "2D steady state heat conduction problem with an internal heat generation source". For boundary value, dirichlet is applied at 3 sides and neumann is at one side.


I can solve this problem when no internal heat source exists and only dirichlet is applied.
Would anyone please suggest me how can I solve the problem?

 

[udvat]

I solved the problem my self. I would recommend the book "Heat Conduction" by Ozesik for
solving this type of problem. Its the best.

I have one queation, is it possible to get the exact solution of nonhomogeneous partial equation using matlab?

 

[rajas026]

if we have 2D heat equation
Ut=Uxx+Uyy+g(x,y)
and we have unit squre domain
where g is source term
and
initial and boundary conditions are
U(x,y,0)=0
and U(x,y,t)=0 for all t at boundary
can you tell me how we write in MATLAB code