ANALYSIS OF R¨OSSLER ATTRACTOR BY MEANS OF RESIDUAL AND JOUBERT-GREEFF METHODS

Authors

  • M. C. Kekana Tshwane University of Technology, Arcadia Campus, Pretoria, SOUTH AFRICA
  • M. Y. Shatalov Tshwane University of Technology, Arcadia Campus, Pretoria, SOUTH AFRICA
  • T.O Tong Tshwane University of Technology, Arcadia Campus, Pretoria, SOUTH AFRICA
  • S. E. Fadugba Department of Mathematics, Ekiti State University, Ado Ekiti, NIGERIA

DOI:

https://doi.org/10.56827/SEAJMMS.2023.1902.32

Keywords:

R¨ossler attractor , MathCad software, Joubert-Greeff method , global and local residuals.

Abstract

In this paper, A mathematical framework of checking accuracy of numerical
methods from mathematical software is been developed and investigated.
R¨ossler attractor is used as case study as its analytical solution is non-existence.
The algorithms investigated from Mathcad software includes AdamsBDF, Adams,
BDF and Runge-Kutta fixed methods. The numerical solutions of each built-in
algorithms are compared to well-known Joubert-Greeff method. The estimation
of global and local residuals are shown. The graphical results are plotted on an
interval of 0 ≤ t ≤ 150.

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Published

2023-08-30

Issue

Vol. 19 No. 02 (2023): South East Asian Journal of Mathematics and Mathematical Sciences

Section

Articles