1
$\begingroup$

I posted the question below in Stackoverflow but then realized that it perhaps would find a better audience here.

I am solving a fourth order non-linear partial differential equation in time and space (t, x) on a square domain with periodic or free boundary conditions with MATHEMATICA.

Without using conformal mapping, what boundary conditions at the edge or corner could I use to make the square domain "seem" like a circular domain for my non-linear partial differential equation which is cartesian?

The options I would not like to use are:

  • Conformal mapping
  • changing my equation to polar/cylindrical coordinates?

This is something I am pursuing purely out of interest just in case someone screams bloody murder if misconstrued as a homework problem! :P

Edit:

If I have a result from solving a PDE in cartesian coordinates, how do I transfer these results or view them in polar coordinates?

  • 0
    @RahulNarain If I have results of a PDE in cartesian coordinates, how do I transfer them to polar coordinates?2012-02-20

0 Answers 0