GitHub

vgvr0/Runge-Kutta-Method-Order-4-for-Systems-of-Differential-Equations

This project provides an implementation of the Runge-Kutta method of order 4 for numerical integration of systems of differential equations. The Runge-Kutta method is a widely used numerical technique ...
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 ...
Scientific Research Publishing

Butcher, J.C. (1964) On Runge-Kutta Processes of High Order. Journal of the Australian Mathematical Society, 4, 179-194.

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

A nearly analytic symplectically partitioned Runge–Kutta method for 2-D seismic wave equations

Abstract: In this paper, we develop a new nearly analytic symplectically partitioned Runge–Kutta (NSPRK) method for numerically solving elastic wave equations. In this method, we first transform the ...
Ars Technica

Graphical ODE solver for Diff EQs

I've spent the last few hours looking for an ODE solver that I can use for my course assignments. I basically need to be able to input the systems of equations and then, for different initial ...
IEEE

Numerical solution of 2D Euler equations for the transonic flow past over NACA0012 and RAE2822 airfoils using high order accurate Runge-Kutta Discontinuous Galerkin method

Abstract: The Runge-Kutta Discontinuous Galerkin (RKDG) finite element method has the several advantages. First, the method is better suited than finite difference methods to handle complicated ...
JSTOR Daily

STABILITY ANALYSIS AND A PRIORI ERROR ESTIMATES OF THE THIRD ORDER EXPLICIT RUNGE-KUTTA DISCONTINUOUS GALERKIN METHOD FOR SCALAR CONSERVATION LAWS

This is a preview. Log in through your library . Abstract In this paper we present an analysis of the Runge-Kutta discontinuous Galerkin method for solving scalar conservation laws, where the time ...