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Re: Integrating Differential Equations with Time Delay

• To: mathgroup at smc.vnet.net
• Subject: [mg75574] Re: [mg75534] Integrating Differential Equations with Time Delay
• From: Murray Eisenberg <murray at math.umass.edu>
• Date: Sat, 5 May 2007 06:08:25 -0400 (EDT)
• Organization: Mathematics & Statistics, Univ. of Mass./Amherst
• References: <200705040817.EAA05003@smc.vnet.net>
• Reply-to: murray at math.umass.edu

I don't think Mathematica has a built-in capability for 
delay-differential equations. However, there's a (free!) add-on package 
by Allan Hayes that implements a function NDelaySolve.  See:

http://library.wolfram.com/infocenter/MathSource/725/

Haider Arafat wrote:
> I am not able to use NDSolve to integrate a differential equation of the 
> form
> 
> u''(t) + a u(t) == b u(t-tau);
> u(0) == u0;
> u'(0)==udot0;
> 
> where tau, a, and b are all constants. Is there any way to numerically 
> integrate this type of equations
> in Mathematica.
> 
> Any help is appreciated,
> 
> Haider Arafat 
> 
> 
> 

-- 
Murray Eisenberg                     murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower      phone 413 549-1020 (H)
University of Massachusetts                413 545-2859 (W)
710 North Pleasant Street            fax   413 545-1801
Amherst, MA 01003-9305

• References:
  • Integrating Differential Equations with Time Delay
    • From: "Haider Arafat" <harafat@vt.edu>