NDSolve with InterpolatingFunctions
- To: mathgroup at smc.vnet.net
- Subject: [mg8114] NDSolve with InterpolatingFunctions
- From: Michael Bunk <michael at iatfrisc2.fzk.de>
- Date: Tue, 12 Aug 1997 00:54:54 -0400
- Organization: Forschungszentrum Karlsruhe
- Sender: owner-wri-mathgroup at wolfram.com
I would like to solve a partial differential equation containing an
InterpolatingFunction object.
The message from MATHEMATICA is:
Built-in routines cannot solve the partial differential equation
Are there any packages to handle the problem?
Michael Bunk
Example:
\[Zeta]^2*Htilde[\[Xi]]^2*Derivative[1][Htilde][\[Xi]]*
Derivative[0, 1][\[CapitalTheta]][\[Xi], \[Zeta]] -
Derivative[0, 2][\[CapitalTheta]][\[Xi], \[Zeta]] +
\[Zeta]*Htilde[\[Xi]]^3*
Derivative[1, 0][\[CapitalTheta]][\[Xi], \[Zeta]] == 0
with
Htilde\[Rule]InterpolatingFunction[{{0.,0.999999}},"<>"]
--
Michael Bunk
Forschungszentrum Karlsruhe
Institut fuer Angewandte Thermo- und Fluiddynamik
Postfach 3640
D-76021 Karlsruhe
Tel.: 07247/82-2528