Re: The Wave Equation : Mathematica vs. Mathworld
- To: mathgroup at smc.vnet.net
- Subject: [mg47898] Re: The Wave Equation : Mathematica vs. Mathworld
- From: gilmar.rodriguez at nwfwmd.state.fl.us (Gilmar Rodr?guez Pierluissi)
- Date: Thu, 29 Apr 2004 19:39:47 -0400 (EDT)
- References: <c6qas9$s8r$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Dear Math User Group: Some of you pointed out that I failed to transcribe the Wave Equation accurately in my notebook, and I acknowledge, and apologize for my mistake! My question is really: How can I set up the Wave Equation using Mathematica (with the same Boundary, and Initial Conditions as shown in the Math World webpage) so that one can get a solution similar to Eq (39)in Mathematica? The example given using Mathematica's Help Browser (and found by typing "wave equation" in the search box) is simpler because it lacks I.C. and B.C. And it is not clear how one can introduce the I.C. and B.C. by modifying the evaluation commands shown in that example. Thank you for your insight! gilmar.rodriguez at nwfwmd.state.fl.us (Gilmar Rodr?guez Pierluissi) wrote in message news:<c6qas9$s8r$1 at smc.vnet.net>... > ******************************************************************************* > 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!