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Differential Algebraic Equation Solvers

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Differential Algebraic Equation Solvers

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A solves a set of differential algebraic equations f(t,y,y')=0 where y'=dy/dt.

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Description

dae2.m solves a set of differential algebraic equations (DAEs)

f(t,y,y')=0 where y'=dy/dt
 
with a 2nd order method starting from y0 at time t0 and finishing at time tfin where tspan=[t0 t1 ... tfin].

The method will also work well for stiff sets of ODEs.

See pendrun.m, penddae.m & pendg.m for a pendulum example.

See dae4.m and dae4o.m for higher order accurate versions.

Acknowledgements

This file inspired Jean Le Rand D'alambert Reduction Method (Update:22 06 07).

MATLAB release MATLAB 5.2 (R10)
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Comments and Ratings (17)
29 Jan 2013 Christophe Lauwerys

Very nice.

25 Feb 2008 saidi abdelaziz

I need in my research the DAE model to apply in my power system test

25 Aug 2007 gabriel Hidalgo  
09 Apr 2007 alaa taha

thank`s for you

08 Apr 2006 dsfdfd sdd  
08 Apr 2006 ss ss  
20 Mar 2006 An Jin

Thank you

01 Mar 2006 Vassili Pastushenko

Let p=dy/dx. Consider a single equation f(x,y,p)=0 (i.e. y=scalar) . Its general algebraic form (with respect to p) is

f(x,y,p)=c(x,y)*P

where
c(x,y)= row-vector of coefficients (1 by N>2, N being polynomial order), possibly functions of x,y.

P=p.^(N-1:-1:0)' = column of derivative powers

The equation c*P=0 solved for p has N-1 (more than one) roots.

The question: which of these roots will be selected and what are selection criteria?

21 Apr 2004 yang ying

useful programme

04 Mar 2004 jahan jahedpoor

I need this file
Please send for me
Thanks for help me

30 Dec 2003 ¶­(dong) Õ׿¡(zhaojun)

Good job!
But if you can tell us the theory of the solver?

19 Nov 2003 hassan hijaizn  
26 Oct 2003 phyllis ferguson  
10 Jul 2003 puru premi  
06 Jan 2003 Brankica Vracar  
28 Nov 2002 nidhi sahu  
08 May 2002

How does this compare to MATLAB's stiff ODE solvers?

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