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