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advection eq. + sine-Gordon eq.

  • To: mathgroup at
  • Subject: [mg13207] advection eq. + sine-Gordon eq.
  • From: Ravi C Venkatesan <rcv_dac at>
  • Date: Mon, 13 Jul 1998 07:42:56 -0400
  • Sender: owner-wri-mathgroup at

Could someone please help me obtain/locate a Mathematica notebook
(preferably V 2.2) that solves the advection equation and the
sine-Gordon eq. using finite-differencing.
The advection eq. (sometimes called the linear convection eq.) is often
found in fluid dynamics.  It is of the form u_t + a*u_x=0, where "a" is
a constant.  The sine-Gordon eq. is of the form u_xx - u_tt = sin u. 
Here "x" and "t" are space and time, and u is the dependent variable. 
Also, for example, u_x = partial derivative of "u" with respect to "x",

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