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Journal of Mathematical and Computational Science ISSN 1927-5307 (Print)

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J. Math. Comput. Sci. 12 (2022), Article ID 2

Investigation of numerical solutions for chaotic Lorenz system using Mathcad software

M.Y. Shatalov, M.C. Kekana, T.O. Tong, S.P. Moshokoa

PDF (758.8 KB) https://doi.org/10.28919/jmcs/6790

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.

Published
22 November 2021
Volume
12 (2022)
License
CC BY 3.0

Copyright © 2021 M.Y. Shatalov, M.C. Kekana, T.O. Tong, S.P. Moshokoa. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

M. Y. Shatalov, M. C. Kekana, T. O. Tong, S. P. Moshokoa, Investigation of numerical solutions for chaotic Lorenz system using Mathcad software, J. Math. Comput. Sci. 12 (2022), 2. https://doi.org/10.28919/jmcs/6790

BibTeX
@article{Shatalov2022,
  author  = {Shatalov, M.Y. and Kekana, M.C. and Tong, T.O. and Moshokoa, S.P.},
  title   = {Investigation of numerical solutions for chaotic Lorenz system using Mathcad software},
  journal = {J. Math. Comput. Sci.},
  volume  = {12},
  year    = {2022},
  pages   = {2},
  doi     = {10.28919/jmcs/6790}
}