Investigation of numerical solutions for chaotic Lorenz system using Mathcad software

Abstract

In this paper, we investigate the accuracy of numerical solution for chaotic Lorenz system. Mathcad software is used as case-study, built-in algorithms used are Runge-Kutta of fourth order (RK4), Adams backward differential formula (AdamsBDF) and developed series method. The numerical integration that are also checked involves Gauss-quadrature and Simpson’s quadrature rules. All the graphical results are showed for all the different numerical methods.