JSTOR Daily

Highly Continuous Interpolants for One-Step Ode Solvers and their Application to Runge-Kutta Methods

SIAM Journal on Numerical Analysis, Vol. 34, No. 1 (Feb., 1997), pp. 22-47 (26 pages) We suggest a general method for the construction of highly continuous interpolants for one-step methods applied to ...
GitHub

tahafaghani/Runge-Kutta

This repository contains simulations of dynamic systems using the Runge-Kutta numerical method to solve the system of differential equations governing the dynamics of various mechanical systems. These ...
IEEE

A Study of Runge-Kutta Method for n-th Order Differential Equations

Abstract: Ordinary differential equations are solved numerically using number of methods. In this paper, an analysis of finding out the solution of n-th order differential equations has been done ...
GitHub

jisha123-gif/RK-method-to-solve-ode

RK-method-to-solve-ode #Rungikutta method to solve ode """ Author Jisha.CR""" import numpy as np import matplotlib.pyplot as plt from matplotlib.ticker import ScalarFormatter, NullFormatter from ...
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 ...
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 ...