In mathematics, and more specifically in graph theory, a vertex (plural vertices) or node is the fundamental unit of which graphs are formed: an undirected graph consists of a set of vertices and a ...
In this paper, we extend the Paired-Explicit Runge-Kutta (PERK) schemes by Vermeire et. al. to fourth-order of consistency. Based on the order conditions for partitioned Runge-Kutta methods we ...
Abstract: Simulation studies were conducted on an induction machine operating as both motor as well as generator using Runge Kutta fourth order method in MATLAB 2020 environment. With the integration ...
A system of ordinary differential equations (ODEs) is produced by the semi-discretize method of discretizing the advection diffusion equation (ADE). Runge-Kutta methods of the second and fourth orders ...
Abstract: Aiming at the problem of automatic driving and accurate positioning of unmanned vehicles in two-dimensional plane according to specified coordinates, this paper proposes a control strategy ...