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Re: Solving system of differential integral algebraic equations in Mathematica!

• To: mathgroup at smc.vnet.net
• Subject: [mg81391] Re: Solving system of differential integral algebraic equations in Mathematica!
• From: dr DanW <dmaxwarren at gmail.com>
• Date: Fri, 21 Sep 2007 03:14:00 -0400 (EDT)
• References: <fct99t$r5m$1@smc.vnet.net>

On Sep 20, 2:59 am, pradeep <prad... at purdue.edu> wrote:
> Hi All,
> I have trouble getting Mathematica to solve my Integro-Differential
> system of equations with either NDSolve or FindRoot. I have a system of
> equations that include a differential, an algebraic and an integral
> equation. Is there any command that can solve this system
> simultaneously?? This can probably be solved by rewriting the equations
> using discretization but i wanted to know if Mathematica could solve it
> in a more elegant way.
>
> PLz let me know,
> Thanks in advance!
>
> Pradeep

I have used NDSolve to solve DAE's (Differential-Algebraic Equations)
of index 1, but solving DAE's is an ugly speciality all its own and
require a lot more work than ODE's. I suggest reading Brenan, K.E., et
al, "Numerical Solution of Initial-Value Problems in Differential-
Algebraic Equations," #14 Classics in Applied Mathematics, 1996, SIAM.