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DOI: 10.14569/IJACSA.2021.0120696
PDF

Numerical Investigation on System of Ordinary Differential Equations Absolute Time Inference with Mathematica®

Author 1: Adeniji Adejimi
Author 2: Surulere Samuel
Author 3: Mkolesia Andrew
Author 4: Shatalov Michael

International Journal of Advanced Computer Science and Applications(IJACSA), Volume 12 Issue 6, 2021.

  • Abstract and Keywords
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Abstract: The purpose of this research is to perform a comparative numerical analysis of an efficient numerical methods for second-order ordinary differential equations, by reducing the second-order ODE to a system of first-order differential equations. Then we obtain approximate solutions to the system of ODE. To validate the accuracy of the algorithm, a comparison between Euler’s method and the Runge-Kutta method or order four was carried out and an exact solution was found to verify the efficiency, accuracy of the methods. Graphical representations of the parametric plots were also presented. Time inference analysis is taken to check the time taken to executes the algorithm in Mathematica®12.2.0. The obtained approximate solution using the algorithm shows that the Runge-Kutta method of order four is more efficient for solving system of linear ordinary differential equations.

Keywords: Euler’s method; Runge-Kutta method; System of ODE; Mathematica®; AbsoluteTiming

Adeniji Adejimi, Surulere Samuel, Mkolesia Andrew and Shatalov Michael, “Numerical Investigation on System of Ordinary Differential Equations Absolute Time Inference with Mathematica®” International Journal of Advanced Computer Science and Applications(IJACSA), 12(6), 2021. http://dx.doi.org/10.14569/IJACSA.2021.0120696

@article{Adejimi2021,
title = {Numerical Investigation on System of Ordinary Differential Equations Absolute Time Inference with Mathematica®},
journal = {International Journal of Advanced Computer Science and Applications},
doi = {10.14569/IJACSA.2021.0120696},
url = {http://dx.doi.org/10.14569/IJACSA.2021.0120696},
year = {2021},
publisher = {The Science and Information Organization},
volume = {12},
number = {6},
author = {Adeniji Adejimi and Surulere Samuel and Mkolesia Andrew and Shatalov Michael}
}



Copyright Statement: This is an open access article licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, even commercially as long as the original work is properly cited.

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