
#1
Feb1713, 11:01 AM

P: 29

I wonder which one is more accurate when solving differential equations?




#2
Feb1713, 04:00 PM

Mentor
P: 10,808

Accurate in which way?
Smaller numerical errors? Depends on the way you try to solve it, internal details of the programs and the accurary you need. Less bugs? No idea 



#3
Feb1813, 07:16 AM

Sci Advisor
PF Gold
P: 1,355

Since both have been used extensively for a long time, the chance of "accuracy" problems is very small. I would use the one that that I was most familiar with.
Generally, software that is inaccurate or does calculations incorrectly either gets corrected by its authors or people stop using it. And users find something that does work as intended. 



#4
Feb1813, 07:20 AM

P: 194

matlab or mathematica
All things being equal, they're probably about the same numerically in most cases and they both have symbolic DE solvers that cover a reasonable number of physical cases ... I think you'd have to have something in mind or a set of test cases to make a comparison. If you were to hold a pistol against my head, I'd probably guess Mathematica ... but I'm rather unlucky ... I once failed an ESP test dismally (least sensitive person they'd ever seen, apparently), I got 100% wrong.




#5
Feb1813, 07:54 AM

P: 29

Thanks. I'm dealing with the restricted circular threebody problem and solving the differential equations though numerical methods, ode15s on matlab and NDSolve on mathematica.




#6
Feb1813, 08:21 AM

P: 194

What led you to ask the question? Do you see any significant differences between Mathematica and Matlab? It doesn't address your particular case, but several years ago I partiallyvalidated Matlab 6dof simulation in Mathcad  the two applications gave very good agreement using a fixed 4thorder RK. 



#7
Feb1813, 08:30 AM

P: 29





#8
Feb1813, 09:10 AM

P: 194




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