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 for different time step sizes are ...
GitHub

runge-kutta-methods

The optimization field suffers from the metaphor-based “pseudo-novel” or “fancy” optimizers. Most of these cliché methods mimic animals' searching trends and possess a small contribution to the ...
Scientific Research Publishing

E. Fehlberg, “Low-Order Classical Runge-Kutta Formulas with Step Size Control and Their Application to Some Heat Transfer Problems,” Computing, Vol. 6, 1970, pp. 61-71. doi ...

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 ...
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 ...
LinkedIn

Carlos Mauro Ferrer Riquett’s Post

Detail explanation of how to solve the wave equation embedded with the MathWorks matlab codes. How to solve the wave equation in 2D using the Runge-Kutta Method (Matlab Code Explained) Lateef K. on ...
Scientific Research Publishing

Derivation of the Reduction Formula of Sixth Order and Seven Stages Runge-Kutta Method for the Solution of an Ordinary Differential Equation ()

This paper is describing in detail the way we define the equations which give the formulas in the methods Runge-Kutta 6 th order 7 stages with the incorporated control step size in the numerical ...