ripple_ode

flame_ode, a Python code which solves an ordinary differential equation (ODE) whose solutions start as ripples and end as hyperbolas.

Licensing:

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

Languages:

ripple_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).

References:

1. John D Cook,
   Ripples and Hyperbolas,
   https://www.johndcook.com/blog/2020/11/06/ripples-and-hyperbolas/
   Posted 06 November 2020.
2. Wendell Mills, Boris Weisfeiler, Allan Krall,
   Discovering Theorems with a Computer: The Case of y‘ = sin(xy),
   The American Mathematical Monthly,
   Volume 86, Number 9, November 1979, pages 733-739.

Source Code:

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

ripple_euler used euler() to solve the problem.

• ripple_euler.png, a plot of the solution.