cauchy_method_test

cauchy_method_test, a MATLAB code which calls cauchy_method(), which solves one or more ordinary differential equations (ODE) using the Cauchy method.

Licensing:

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

Related Data and codes:

cauchy_method, a MATLAB code which solves one or more ordinary differential equations (ODE) using the Cauchy method.

Source Code:

• cauchy_method_test.m, calls all the tests.
• cauchy_method_test.sh, runs all the tests.
• cauchy_method_test.txt, the output file.

• stiff_deriv.m, returns the right hand side of the stiff ODE.
• stiff_exact.m, returns the exact solution of the stiff ODE.
• stiff_cauchy_method_test.m, solves the stiff ODE using the Cauchy method + fsolve.

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.