Re: NDSolve - how to bypass safety chceck?

• To: mathgroup at smc.vnet.net
• Subject: [mg111388] Re: NDSolve - how to bypass safety chceck?
• From: "slawek" <slawek at host.pl>
• Date: Fri, 30 Jul 2010 06:56:00 -0400 (EDT)
• References: <i2m4lo\$o4n\$1@smc.vnet.net> <i2mhbu\$3c0\$1@smc.vnet.net> <i2rm1k\$r5h\$1@smc.vnet.net>

```U=BFytkownik "sean" <sean_incali at yahoo.com> napisa=B3 w wiadomo=B6ci grup
dyskusyjnych:i2rm1k\$r5h\$1 at smc.vnet.net...
> One way to circumvent is to increase the number of steps. For above
> system, something like 500000 will do it. I found it by trial and
> error. maybe it will work for your system.

It is a bad idea, because the set of equations have the chaotic behaviour .

By the way, a more precise non-aproximate equations are currently computing
by the Adams-Bashforth method with spline integration. In pseudo-code:

y'[[i]](t) == y[[i]]](t) - Integrate[ g(t) Sum[y[[i]](t-ta)
y[[j]](t-ta-tb) y[[k]](t-2 ta-tb)], ta, tb] , and y is a vector depended on
time.

Nice thing, a set od ODE-INT, but - I think - may be quite well be
approximated by DDE.

slawek

```

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