Re: NDSolve with integral equation
- To: mathgroup at smc.vnet.net
- Subject: [mg36147] Re: NDSolve with integral equation
- From: Alois Steindl <Alois.Steindl+e325 at tuwien.ac.at>
- Date: Fri, 23 Aug 2002 21:34:36 -0400 (EDT)
- Organization: Inst. f. Mechanics II, TU Vienna
- References: <ak4eb6$79$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
"Toshiyuki \(Toshi\) Meshii" <meshii at mech.fukui-u.ac.jp> writes:
> Hello,
>
> NDSolve seems to have difficulties with solving integral equation.
>
> n = 5; NDSolve[{D[\[Sigma]norm[z, t], t] == 3*z*Integrate[\[Sigma]norm[z,
> t]^n*z, {z, 0, 1}] - \[Sigma]norm[z, t]^n,
> \[Sigma]norm[z, 0] == 1.5*z, \[Sigma]norm[0, t] == 0}*\[Sigma]norm[z,
> t], {z, 0.01, 1}, {t, 0.01, 2}]
>
> Mathematica returns a message
>
> NDSolve::"deql": "The first argument must have both an equation and an \
> initial condition."
>
> which I cannot understand.
> Can anybody tell what's wrong with my attempt?
>
> -Toshi
>
>
Hello,
I am not really sure that your question isn't a joke.
NDSolve solves differential equations, not integral equations.
Although there are relations between these topics, they are certainly
not the same.
Alois
--
Alois Steindl, Tel.: +43 (1) 58801 / 32558
Inst. for Mechanics II, Fax.: +43 (1) 58801 / 32598
Vienna University of Technology,
A-1040 Wiedner Hauptstr. 8-10 Email: Alois.Steindl+e325 at tuwien.ac.at