ANALYSIS OF R\"{O}SSLER ATTRACTOR BY MEANS OF RESIDUAL AND JOUBERT-GREEFF METHODS

M. C. Kekana; M. Y. Shatalov; T.O Tong; S. E. Fadugba

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

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

Volume 19, Issue 2 Pages 431-450 August 30, 2023 214 downloads

Article overview

Abstract

In this paper, A mathematical framework of checking accuracy of numerical methods from mathematical software is been developed and investigated. R\"{o}ssler 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 $\le$ t $\le$ 150.

Keywords and Phrases

R\"{o}ssler attractorMathCad softwareJoubert-Greeff methodglobal and local residuals.

AMS Subject Classification

74H15, 45G10, 65D32, 65D30, 65G99.

Reference information

How to Cite

M. C. Kekana, M. Y. Shatalov, T.O Tong, S. E. Fadugba (2023). ANALYSIS OF R\"{O}SSLER ATTRACTOR BY MEANS OF RESIDUAL AND JOUBERT-GREEFF METHODS. South East Asian Journal of Mathematics and Mathematical Sciences, 19(2), 431-450.

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