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No Memory Available

Dear Mathematica Experts,

I am using NDSolve to do integration in time for 24 variables. I can choose
only to do the integration for a short time range, otherwise I get the

No more memory available.
Mathematica kernel has shut down.
Try quitting other applications and then retry.

What frustrates me is that I get this error only after a minute or so
although I can accept to carry out the run for a much longer time to reach
the steady state solution but this error prevents me from this by killing
the whole kernel.
I tried to set the Historylength to zero with no improvement.
I checked the documentation and previous threads on this error but could not
find any thing useful.

Is there a way I can increase the allocated memory even virtually, or may be
tell Mathematica to wipe the memory out during the run?

Thanks in advance.

Adel Elsabbagh

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