NDSolve with integral equation
- To: mathgroup at smc.vnet.net
- Subject: [mg36144] NDSolve with integral equation
- From: "Toshiyuki \(Toshi\) Meshii" <meshii at mech.fukui-u.ac.jp>
- Date: Fri, 23 Aug 2002 00:25:17 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
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
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