The problem of the region of stability of the fourth order-Runge-Kutta method for the solution of systems of differential equations is studied. This region can be characterized by means of linear ...

This is a preview. Log in through your library . Abstract We prove the existence and uniqueness of solutions of a class of second order differential equations with piecewise constant mixed arguments ...

This is a Julia package for fractional differential equations and ODEs. It provides numerical solutions for nonlinear fractional ordinary differential equations (in the sense of Caputo). Related work ...

This paper presents some recent advances on the numerical solution of the classical Germain-Lagrange equation for plate bending of thin elastic plates. A meshless strategy using the Generalized Finite ...

ABSTRACT: This article considered the development of a two-point hybrid method for the numerical solution of initial value problems of second order ordinary differential Equations (ODEs) using power ...

Abstract: Implementing a practical fourth order accurate in time and second order accurate in space finite difference time domain simulation using MATLAB is the goal of this paper. The formulation ...

ABSTRACT: In this paper, we investigate the existence of positive solutions for the singular fourth-order differential system u(4) = φu + f (t, u, u”, φ), 0 t φ ...

in this repository, we learn how to find equilibrium points of a system of non-linear ODE and calculate the solution using Runge-Kutta Fourth Order (RK4). The equations used here can be found in the ...