If steady state then so so
Now you say that at the boundary there's no heat flow so at the boundaries. Thus
so is your solution (as you said).
The problem is stated here:
A homogeneous body occupying the solid region D is completely insulated. Its initial temperature is f(x). Find the steady-state temperature that it reaches after a long time. (Hint: No heat is gained or lost)
Now, it was asked many months ago:
Working with initial and boundary conditions in PDEs | MathFax.com
However, it's no longer on mathhelpforum and the solution there doesn't have the math expressions any more.
Can any one tell me how to solve it?
All I have now is:
du/dn = 0
u(x, 0) = f(x)
u_t = k*u_xx
Intuitively though, I think the solution is a constant.