rk12_test

rk12_test, a MATLAB code which calls rk12(), which solves an ordinary differential equation (ODE) using a Runge-Kutta (RK) method of order 2, estimating the local error with a Runge-Kutta method of order 1.

Licensing:

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

Related Data and Programs:

rk12, a MATLAB code which solves an ordinary differential equation (ODE) using a Runge-Kutta (RK) method of order 2, estimating the local error with a Runge-Kutta method of order 1.

Source Code:

• rk12_test.m calls all the tests.
• rk12_test.sh runs all the tests.
• rk12_test.txt the output file.

• predator_deriv.m evaluates the derivative for the predator-prey problem.
• predator_rk1.m approximates the predator-prey problem using a Runge-Kutta method of order 1.
• predator_rk2.m approximates the predator-prey problem using a Runge-Kutta method of order 2.
• predator_rk12.m approximates the predator-prey problem using a Runge-Kutta method of order 2, and estimates the error by comparing with a Runge-Kutta method of order 1.

• predator_rk1_time.png a solution plot produced by predator_rk1().
• predator_rk1_phase.png a phase plot produced by predator_rk1().

• predator_rk2_time.png a solution plot produced by predator_rk2().
• predator_rk2_phase.png a phase plot produced by predator_rk2().

• error_rk12_time.png a time plot of error produced by predator_rk12().
• error_rk12_phase.png a phase plot of error produced by predator_rk12().