GitHub

%% Runge-Kutta-Fehlberg Method

% OUTPUT: t, w, h where w approximates y(t) and the step size h was used or a message that % teh minimum step size was exceeded. % Test Command: runge_kutta_fehlberg(f, 0, 2 , 0.5 , 0.00001, 0.25, ...
GitHub

Runge_Kutta_con_3.html

To make changes, update the MATLAB code and republish this document. html,body,div,span,applet,object,iframe,h1,h2,h3,h4,h5,h6,p,blockquote,pre,a,abbr,acronym,address ...
Scientific Research Publishing

Stepsize Selection in Explicit Runge-Kutta Methods for Moderately Stiff Problems ()

We present an algorithm for determining the stepsize in an explicit Runge-Kutta method that is suitable when solving moderately stiff differential equations. The algorithm has a geometric character, ...
IEEE

Effect of wind and current on course control of a maneuvering vessel

Abstract: The equations of motion of a maneuvering vessel under the action of wind, current, rudder and propulsion are solved by the MATLAB Runge-Kutta solver ode45. The hydrodynamic derivatives used ...
Scientific Research Publishing

Production of the Reduction Formula of Seventh Order Runge-Kutta Method with Step Size Control of an Ordinary Differential Equation ()

The purpose of the present work is to construct a nonlinear equation system (85 × 53) using Butcher’s Table and then by solving this system to find the values of all set parameters and finally the ...