Can this PDE be solvable with Machcad?

I am struggling with a heat equation which has very complec heat generation term.

In the attachment, T is temperature, x,y,x are axes perpendicular to each other, t is time, and other parameters are assumed to be known.

Here, what I want to ask is

1) Is this PDE solvable with Mathcad (w.r.t case 1 and case 2)

or do I have to other softwares like c++, matlab

2) If so, is there anybody who is willing to teach me the code?

I would appreciate it if anybody give me an answer.

Thank you.

23-Emerald IV

I would not say immediately that it's not solvable using Mathcad.

But please provide a Mathcad worksheet to prevent mistakes in erroneously interpreting your handwriting.

Also, while I know the divergence operator, I'm unsure how to interpret it squared. Would that mean you want to solve:

or:

?

And finally the last term between the brackets of the q(x,t) function, I cannot make anything of it.

Luc

19-Tanzanite

Del squared is the Laplacian, and your second form is correct.

23-Emerald IV

Thanks Rich, just found that out.

Now we need two boundary conditions for the first case...

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