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MathGroup Archive 2004

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Re: The Wave Equation : Mathematica vs. Mathworld

  • To: mathgroup at smc.vnet.net
  • Subject: [mg47894] Re: The Wave Equation : Mathematica vs. Mathworld
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Thu, 29 Apr 2004 19:39:39 -0400 (EDT)
  • Organization: Universitaet Leipzig
  • References: <c6qas9$s8r$1@smc.vnet.net>
  • Reply-to: kuska at informatik.uni-leipzig.de
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

because you solve the  partial differential equation with out
any boundary and initial conditions and you ask why this is 
different from the solution of the boundary
value problem with initial conditions ???

Because initial and boundary conditions are very important for the
solution.

Regards
  Jens


Gilmar Rodr?guez Pierluissi wrote:
> 
> *******************************************************************************
> I'm attempting to duplicate the analysis found in:
> 
> http://mathworld.wolfram.com/WaveEquation.html
> 
> about how to derive a solution to the Wave Equation.
> I want to get to that solution using Mathematica.
> The solution to the Wave Equation is given by Eq(39)
> displayed on the above website.
> To see my attempt to solve the Wave Equation using Mathematica v.5,
> please double-click the following internet link, and save
> this notebook into a directory of your choice:
> 
> http://www.tilmarlily.netfirms.com/download/wave.nb
> 
> The solution given by Out[2](in the notebook) is very different
> from Eq(39).
> 
> My question is, why is the solution given by Mathematica so
> different than the classical result given by Eq(39)in the Mathworld
> website?
> 
> Thank you!


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