cauchy_method

cauchy_method, a Python code which solves one or more ordinary differential equations (ODE) using the Cauchy method, and using a fixed time step.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

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

Related Data and codes:

python_ode_solver, a Python code which solves one or more differential equations (ODE) using a method of a particular order, either explicit or implicit. Some methods require a nonlinear equation solver. Some methods used a fixed stepsize, while others adapt the stepsize based on an error estimate.

Source Code:

• cauchy_method.py, calls all the tests.
• cauchy_method.sh, runs all the tests.
• cauchy_method.txt, the output file.

Solutions using cauchy_fixed():

• stiff_cauchy_fixed_0.25.png, an image of the solution for theta = 0.25.
• stiff_cauchy_fixed_0.5.png, an image of the solution for theta = 0.5.
• stiff_cauchy_fixed_0.75.png, an image of the solution for theta = 0.75.

Solutions using cauchy_fsolve():

• stiff_cauchy_fsolve_0.25.png, an image of the solution for theta = 0.25.
• stiff_cauchy_fsolve_0.5.png, an image of the solution for theta = 0.5.
• stiff_cauchy_fsolve_0.75.png, an image of the solution for theta = 0.75.