GitHub

runge-kutta

This script compares the different numerical solving methods to the analytical solution. At first, the analytical one is plotted, thereafter the numerical solutions ...
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 ...
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

E. Fehlberg, “Low-Order Classical Runge-Kutta Formulas with Step Size Control and Their ...

ABSTRACT: 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 ...
note

＜学習シリーズ＞常微分方程式の解法：Runge-Kutta法をPythonで学ぶ

本記事は”学習シリーズ”として自分の勉強備忘録用になります。 常微分方程式の解法として下記手法がありますが、今回はRunge-Kutta法を説明します。 Euler法：最もシンプルだが計算精度は低い Leap-Frog法：Euler法の時間単位を分割することで精度をあげ ...
IEEE

Numerical Solution of Initial Value Problems of Time-Fractional Order via a Novel ...

Abstract: In this article, we present a derivation of a novel 4-stage fractional Runge-Kutta method (4sFRKM). Then we apply it to solve time-fractional initial values problems. This method is useful ...