The fast-rising pace of attacks is driving a graph database arms race across leading cybersecurity providers.

The rest of this paper is organized as follows: In Section 2, the differential equation of GLONASS satellite motion is given, and we present in this section the principle of the Runge-Kutta ...

This repository contains a Python implementation for solving ordinary differential equations (ODEs) using various numerical methods, including the Euler method, Heun's method, the Midpoint method, and ...

J.H. Verner, The derivation of high order explicit Runge--Kutta methods, Department of Mathematics Report No. 93, University of Auckland, New Zealand, 1976, 27 pages.

With the help of the homotopy perturbation method (HPM), we determine an approximate series solution with few perturbation terms, which is one of the essential power of the HPM method. We compare our ...

3 Uniformly accurate order six Lobatto-Runge-Kutta Collocation methods By careful selection of interpolation and collocation points inside the interval [x 0, b], leads to a single continuous finite ...

ABSTRACT: 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 ...

Ahmad, R.R. and Yaacob, N. (2013) Arithmetic-Mean Runge-Kutta Method and Method of Lines for Solving Mildly Stiff Differential Equations. Menemui Matematik (Discovering Mathematics), 35, 21-29.