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I need to solve the following partial differential equation in seven variables with four boundary conditions. I don't think Mathematica has the capacity to solve this differential equation.

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Do you know of scientific packages which can be used to solve this equation and plot graphs of the dependent variable against each of the independent variables?

nightmarish
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    It looks like you missed to include the actual equation. – Wrzlprmft Nov 29 '17 at 20:59
  • I've attached it now. – nightmarish Nov 29 '17 at 23:00
  • This equation seem to be off second order to me – nicoguaro Nov 30 '17 at 03:51
  • This looks like it's only an equation in three variables ($t_x,r_x,\theta_x$) plus a time-like variable $u$. $t_y,r_y,\theta_y$ only seem to be parameters, but there are no derivatives with regards to these variables. Is this correct? If so, you basically have a 3+1 dimensional advection diffusion equation with some wacky weights. – Wolfgang Bangerth Nov 30 '17 at 06:46
  • That's true. $t_y$, $r_y$ and $\theta_y$ only appear in one of the boundary conditions. How would you solve a $3+1$-dimensional advection diffusion equation with wacky weights though? – nightmarish Nov 30 '17 at 07:08
  • I think that you're missing one boundary condition for $r_x$. – nicoguaro Nov 30 '17 at 13:13

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