RungeKutta4
This is a simple implementation of a 4th-order, fixed-step, Runge-Kutta integrator. It is fully vectorized, which allows a large number of simulations to be carried out in parallel. It is designed to be used inside of optimization code.
% z = rk4(dyn,t,z0)
%
% This function (rk4) is used to perform a 4th-order Runge-Kutta
% integration of a dynamical system.
%
% INPUTS:
% dyn = handle of the form:
% dz = userFunc(t,z)
% t = [1 x nTime] vector of times, created by linspace
% z0 = [nState (x nSim)] matrix of initial states
%
% OUTPUTS:
% z = [nState (x nSim) x nTime ] matrix of trajectories
%
Citation pour cette source
Matthew Kelly (2024). RungeKutta4 (https://www.mathworks.com/matlabcentral/fileexchange/54449-rungekutta4), MATLAB Central File Exchange. Récupéré le .
Compatibilité avec les versions de MATLAB
Plateformes compatibles
Windows macOS LinuxCatégories
- MATLAB > Mathematics > Numerical Integration and Differential Equations > Boundary Value Problems > Runge Kutta Methods >
Tags
Remerciements
A inspiré : Numerical Methods, Murali_Lakshmanan_Chua Oscillator, Coupled mlc_oscillator, MLC_oscillator
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Version | Publié le | Notes de version | |
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1.1.0.0 | Added a text function to show usage. Improved description. |
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1.0.0.0 |