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    $\begingroup$ Have you tried coding it yourself? What you are asking for is a solver, but you need boundary conditions and initial conditions to solve it. Try the Runge-Kutta integration in time. For your spatial derivatives, you may want a finite differencing method. mathworld.wolfram.com/Runge-KuttaMethod.html $\endgroup$ Commented Dec 14, 2016 at 0:03
  • $\begingroup$ lmgtfy.com/… $\endgroup$ Commented Dec 14, 2016 at 3:20
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    $\begingroup$ This certainly sounds like a homework question I had at university too... you learn by doing, not from someone else's work :-) $\endgroup$ Commented Feb 5, 2021 at 15:48