The following differential equation is used as a testcase:
x'=cos(x)+cos(y)+a,
y'=eps,
where a=1.4
If eps is small, it is an example of the so-called slow-fast equation. One is interested in the Poincare map from x=0 to x=2pi (so the time is 2pi/eps).
rk_c.cpp is a simple C++ implementation of RK4 method (see http://en.wikipedia.org/wiki/Runge-Kutta for details).
g++ rk_c.cpp -o rk_c && ./rk_c
Note that only 'wall time' is calculated.
odeint_py.py uses scipy.integrate.odeint method which is based on LSODE solver.
One can use odeint_py.py as a standalone executable
python ./odeint_py.py
Or as a module. E.g. with isympy:
In [2]: from odeint_py import docycle
In [3]: time docycle(10)
CPU times: user 0.13 s, sys: 0.01 s, total: 0.14 s
Wall time: 0.13 s