math - parabolic partial differential equations -


my application has parabolic partial differential equations...which inter-related , use variables user inputs via ui desktop application.
can guide me through software or library or particular language serve best purpose above?

maybe python language with:

or matlab, or free counterpart gnu octave or scilab, of freemat.

or crank in wolfram alpha web ui.
http://www.wolframalpha.com/input/?i=x^2%2b2x%2b1%3d0

or wolfram mathematica 8.


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