rk12

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.

Licensing:

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

Languages:

rk12 is available in a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

rk12_test

matlab_ode_solver, a MATLAB 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:

• rk1.m solves an ODE using a Runge Kutta method of order 1.
• rk12.m solves an ODE using a Runge Kutta method of order 2, and estimates error using a Runge Kutta method of order 1.
• rk2.m solves an ODE using a Runge Kutta method of order 2.