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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?

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    $\begingroup$ It looks like you missed to include the actual equation. $\endgroup$ – Wrzlprmft Nov 29 '17 at 20:59
  • $\begingroup$ I've attached it now. $\endgroup$ – nightmarish Nov 29 '17 at 23:00
  • $\begingroup$ This equation seem to be off second order to me $\endgroup$ – nicoguaro Nov 30 '17 at 3:51
  • $\begingroup$ 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. $\endgroup$ – Wolfgang Bangerth Nov 30 '17 at 6:46
  • $\begingroup$ 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? $\endgroup$ – nightmarish Nov 30 '17 at 7:08

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