Re: Plotting Partial Differential Equations
- To: mathgroup at smc.vnet.net
- Subject: [mg67643] Re: Plotting Partial Differential Equations
- From: dh <dh at metrohm.ch>
- Date: Mon, 3 Jul 2006 06:37:59 -0400 (EDT)
- References: <e82nk4$r2d$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Hi David,
I understand that you have a function f1: t=f1[x,y] and you want to plot
a related function f2: x= f2[t,y], that is the inverse of f1 relative to
x and t.
That can e.g. by done numerically by calculating {t,x,y} tripplets and
numerically interpolating {x,t,y} tripplets using Interpolation. Finally
you would use ListContourPlot.
As an alternative, if the range of your variables is small enough you
could series expansion of f1 and then use InverseSeries to get f2.
Daniel
David Hernandez wrote:
> Hi,
> I've the following result from NDSolve for PDE T[x,y]:
> {{T -> InterpolatingFunction[{{0., 2000.}, {0.0001, 0.025}}, <>]}}
>
> I would like to know what's the most efficient way to plot this data as a
> contour plot (2D). Please note that I actually need the interpolating
> function T in the vertical axes and the other variable, "y", {0.0001, 0.025}
> in the horizontal axes. Whereas "x" would be the variable that defines the
> contour shading.
>
> Many thanks
> David
>
>