lines 6-73 of file: python/cmpad/an_ode.py

{xrst_begin_parent py_an_ode}
{xrst_spell
   kutta
   runge
   yf
}

Use Python Runge-Kutta Method to Solve an ODE
#############################################

Syntax
******
| |tab| *ode* = ``cmpad.an_ode( *like_numpy* )``
| |tab| *ode* . ``setup`` ( *option* )
| |tab| *yf* = *ode* ( *x* )

Prototype
*********
{xrst_literal
   # BEGIN PROTOTYPE
   # END PROTOTYPE
}

Algorithm
*********
This is a python implementation of the an_ode :ref:`an_ode@Algorithm` .

like_numpy
**********
This is a :ref:`like_numpy-name` class.
It is used to vectorize the :ref:`rk4_step-name` algorithm.

ode
***
The object *ode* corresponding to :ref:`py_fun_obj@fun_obj`
in the function object interface.

n_arg
*****
see :ref:`an_ode@option@n_arg` .
This is the number of elements that are computed by one *like_numpy* operation
in the r4k_step algorithm

n_other
=======
see :ref:`an_ode@option@n_other` .

x
*
This is the :ref:`an_ode@ODE@Parameter Vector` that appears in the ODE.

yf
**
The return value *yf* is :math:`y(t)` at :math:`t = 2` .

{xrst_toc_hidden after
   python/xam/an_ode.py
   python/cmpad/runge_kutta.py
}
Example
*******
:ref:`xam_an_ode.py-name` contains an example and test of ``an_ode`` .

Source Code
***********
:ref:`an_ode.py-name` displays the source code for this algorithm.

{xrst_end py_an_ode}