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.
The computer code and data files described and made available on this web page are distributed under the MIT license
rk12 is available in a MATLAB version and an Octave version.
backward_euler, a MATLAB code which solves one or more ordinary differential equations (ODE) using the backward Euler method.
euler, a MATLAB code which solves one or more ordinary differential equations (ODE) using the forward Euler method.
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midpoint_explicit, a MATLAB code which solves one or more ordinary differential equations (ODE) using the (explicit) midpoint method, also called the modified Euler method.
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rk45, a MATLAB code which implements Runge-Kutta solvers of orders 4 and 5 for a system of ordinary differential equations (ODE).
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