tough_ode

tough_ode, a Python code which sets up and solves a system of four ordinary differential equations (ODE) which is extremely difficult to solve accurately.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

tough_ode is available in a MATLAB version and an Octave version and a Python version.

Related Data and codes:

python_ode, Python codes which sets up various systems of ordinary differential equations (ODE).

Reference:

• Ernst Hairer, Syvert Norsett, Gerhard Wanner,
  Solving Ordinary Differential Equations, I: Nonstiff Problems,
  Springer, 1987.

Source Code:

• tough_ode.py, the source code.
• tough_ode.sh, runs all the tests.
• tough_ode.txt, the output file.

• tough_solve_ivp_y1.png, a plot of y1 over time.
• tough_solve_ivp_y2.png, a plot of y2 over time.
• tough_solve_ivp_y3.png, a plot of y3 over time.
• tough_solve_ivp_y4.png, a plot of y4 over time.