I am trying to get a solution to the heat equation with multiple boundary conditions.

Most of them work but I am having trouble with two things: a Robin boundary condition and initial conditions.

First, here are my equations that work:

returns a solution (actually two including u(x,y,z,t)=0).

However, when I try to add:

or

I no longer get a solution.

Any guidance would be appreciated.

Regards.

I have uploaded a worksheet with the equations...

Download heat_equation_pde.mw

hello friends am working on 2d heat equation and i have writen maple code for it but its not running because my scheme is having fictitious points which are removed by using boundary conditions but in this code which i have written the line in bold is not using boundary conditions due to which my fictitious points are still in programe and its not working am attaching my worksheet

trytimg.mw

please let me know where am wrong thank you...

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I am trying to solve a transient heat transfer problem.

The problem is that I have an insulated pipe that is immersed in cold water. At time 0, the fluid filling the pipe is at a constant temperature. The insulation at one end of the pipe is different to the rest of the insulation. I need to find out the time that it would take any fluid to reach a certain temperature, called the cool down time.

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