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Re: Integrating Differential Equations with Time Delay

• To: mathgroup at smc.vnet.net
• Subject: [mg75582] Re: Integrating Differential Equations with Time Delay
• From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
• Date: Sat, 5 May 2007 06:12:43 -0400 (EDT)
• Organization: The Open University, Milton Keynes, UK
• References: <f1eqpt$59j$1@smc.vnet.net>

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 

Allan Hayes's package NDelayDSolve should be of interest: "The package 
extends the built-in function NDSolve to deal with delay differential 
equations." See "Delay-Differential Equations" at 
http://library.wolfram.com/infocenter/MathSource/725/

Regards,
Jean-Marc