/opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/scikits/bvp_solver/ProblemDefinition.py:408: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future func_derivative_calc = self._function_derivative(test_solution.mesh[middlePoint], test_solution.solution[:, middlePoint]) /opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/scikits/bvp_solver/ProblemDefinition.py:415: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future point1 = self._function(test_solution.mesh[middlePoint], test_solution.solution[:, middlePoint]) /opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/scikits/bvp_solver/ProblemDefinition.py:416: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future point2 = self._function(test_solution.mesh[middlePoint], test_solution.solution[:, middlePoint] + delta)