Move the creation of the pool into the RungeK
function;
def RungeK():
# ...
# a lot of code which create the vectors A and B and calculates
# one Kunge-Kutta step for them
# ...
pool = Pool(processes=2)
n = 20 # Just something for the example
A = np.arange(50000)
B = np.ones_like(A)
for i in xrange(n): # loop over the time steps
A *= np.mean(B)*B - A
B *= np.sqrt(A)
results = pool.map(Splitter, [(A, 3), (B, 2)])
A = results[0]
B = results[1]
pool.close()
print np.mean(A) # Some output
print np.max(B)
Alternatively, put it in the main block.
This is probably a side effect of how multiprocessing works. E.g. on MS windows, you need to be able to import the main module without side effects (like creating new processes).