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I take it you have Wolfram Mathematica 7.0 and MATLAB_R2012b

It's not an easy task and depends on what you're trying to do with these calculations. Check out the various references in: ...sorry, you cannot view external links. To see them, please REGISTER or LOGINYou can also find textbooks on the subject. Since you're solving the equations numerically on discrete grids, you have to get the geometry right and make sure the solutions are stable, both of which are non-trivial problems.