rk2_implicit_test

rk2_implicit_test, a MATLAB code which calls rk2_implicit(), which solves one or more ordinary differential equations (ODE) using a Runge-Kutta implicit method of order 2, often known as the implicit midpoint method, with fsolve() for the implicit equation, and using a fixed time step.

Licensing:

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

Related Data and codes:

rk2_implicit, a MATLAB code which solves one or more ordinary differential equations (ODE) using a Runge-Kutta implicit method of order 2, often known as the implicit midpoint method, with fsolve() for the implicit equation, and using a fixed time step.

Source Code:

• rk2_implicit_test.m, calls all the tests.
• rk2_implicit_test.sh, runs all the tests.
• rk2_implicit_test.txt, the output file.

• humps_rk2_implicit.m, uses rk2_implicit() to solve the humps ODE.
• humps_deriv.m, returns the derivative of the humps ODE.
• humps_exact.m, the exact solution of the humps ODE.
• humps_rk2_implicit.png, an image of the approximate and exact solutions.

• predator_prey_deriv.m, returns the right hand side of the predator prey ODE.
• predator_prey_rk2_implicit_test.m, solves the predator prey ODE().
• predator_prey_rk2_implicit.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_rk2_implicit_test.m, solves the stiff ODE().
• stiff_rk2_implicit.png, a plot of the solution.