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MathGroup Archive 2005

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Re: Re: Re: NIntegrate and NDSolve

  • To: mathgroup at smc.vnet.net
  • Subject: [mg56602] Re: [mg56567] Re: [mg56542] Re: NIntegrate and NDSolve
  • From: Chris Chiasson <chris.chiasson at gmail.com>
  • Date: Sat, 30 Apr 2005 01:27:11 -0400 (EDT)
  • References: <d4mrmq$1st$1@smc.vnet.net> <200504280640.CAA24692@smc.vnet.net> <200504290720.DAA10207@smc.vnet.net>
  • Reply-to: Chris Chiasson <chris.chiasson at gmail.com>
  • Sender: owner-wri-mathgroup at wolfram.com

You have a PDE with one dependant variable and three independant
variables. I count three*2 (one integration and one differentiation
each) = 6 boundary conditions that are needed, but I am not sure.

You possibly need something like:
NDSolve[{eqns&&bcs},u,{r,0rmax},{\[Theta],0,\[Theta]max},{z,0,zmax}]

On 4/29/05, Matt Flax <flatmax at matt.flax> wrote:
> I have now added limits to the equation and have converted as much of
> the equation to constants as possible ... the exact equation is here :
> http://mffm.ee.unsw.edu.au/~flatmax/temp_110.gif
> 
> I would like to solve for 'sigma[r,theta,z]' ... when the equation is
> set to zero ...
> i.e. http://mffm.ee.unsw.edu.au/~flatmax/temp_110.gif == 0
> 
> I guess I will have to use boundary values in some way ... is that
> correct ?
> 
> Also what method would be used ? NDSolve NIntegrate ???? Something else
> ????
> 
> thanks
> Matt
> 
> On Thu, Apr 28, 2005 at 02:40:43AM -0400, Carl K. Woll wrote:
> > "Matt Flax" <flatmax at Matt.Flax> wrote in message
> > news:d4mrmq$1st$1 at smc.vnet.net...
> > > Hello,
> > >
> > > I have an equation which depends on the integral and differential
> > > of an unknown function f[x,y,z].
> > >
> > > I would like to solve this equation analytically, however am happy with a
> > > numerical solution if that is necessary.
> > >
> > > The equation contains the unknown (f[x,y,z]) which I would like to solve
> > > for and has integrals of differentials like this :
> > >
> > > Integral [ d f[x,y,z] / dz  , dx]
> > > Integral [ d f[x,y,z] / dx  , dz]
> > >
> >
> > What are the limits of integration?
> >
> > [snip]
> >
> > Carl Woll
> >
> 
> --
> http://www.flatmax.org
> 
> Public Projects :
> http://sourceforge.net/search/?type_of_search=soft&words=mffm
> 
> 


-- 
Chris Chiasson
http://chrischiasson.com
Kettering University
Mechanical Engineering
Graduate Student
1 810 265 3161


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