midpoint_fixed_test

midpoint_test, a MATLAB code which calls midpoint_fixed(), which solves one or more ordinary differential equations (ODE) using the (implicit) midpoint method, applying a fixed point iteration for the nonlinear equation.

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:

midpoint_fixed, a MATLAB code which solves one or more ordinary differential equations (ODE) using the (implicit) midpoint method, applying a fixed point iteration for the nonlinear equation.

Source Code:

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

• predator_prey_deriv.m, returns the right hand side of the predator prey ODE.
• predator_prey_midpoint_fixed_test.m, solves the predator prey ODE using the midpoint_fixed method.
• predator_prey_midpoint_fixed.png, a plot of the solution.
• predator_prey_midpoint_fsolve_test.m, solves the predator prey ODE using the midpoint_fsolve method.
• predator_prey_midpoint_fsolve.png, a plot of the solution.

• stiff_deriv.m, returns the right hand side of the stiff ODE.
• stiff_exact.m, returns the exact solution of the stiff ODE.
• stiff_midpoint_explicit_test.m, solves the stiff ODE using the midpoint method + explicit backward Euler.
• stiff_midpoint_explicit.png, a plot of the solution.
• stiff_midpoint_fixed_test.m, solves the stiff ODE using the midpoint method + fixed point iteration.
• stiff_midpoint_fixed.png, a plot of the solution.
• stiff_midpoint_fsolve_test.m, solves the stiff ODE using the midpoint method + fsolve.
• stiff_midpoint_fsolve.png, a plot of the solution.