Odd Order Integrator with Two Complex Functions Control Parameters for Solving Systems of Initial Value Problems

Authors

  • Opeyemi O. Enoch Department of Mathematics, Federal University Oye-Ekiti, Ekiti State, Nigeria
  • Catherine O. Alakofa Department of Mathematics, Federal University Oye-Ekiti, Ekiti State, Nigeria
  • Lukman O. Salaudeen Department of Mathematics, Federal University Oye-Ekiti, Ekiti State, Nigeria

Keywords:

Numerical integrator, Ordinary di erential equation, Convergence, Consistency

Abstract

In this study, a numerical integrator that is based on a nonlinear interpolant, for the local representation of the theoretical solution is presented. The resulting integrator aims to solve second and higher-order initial value problems as systems of first-order initial value problems. The method is designed to have two complex functions as control parameters. The control parameters may become real, depending on the nature of the second-order initial value problems to be solved. The generalization and properties of the scheme are also presented.

Dimensions

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Published

2022-12-16

How to Cite

Odd Order Integrator with Two Complex Functions Control Parameters for Solving Systems of Initial Value Problems. (2022). Journal of the Nigerian Society of Physical Sciences, 5(1), 968. https://doi.org/10.46481/jnsps.2023.968

Issue

Volume 5, Issue 1, February 2023

Section

Original Research
Copyright & Licensing

Copyright (c) 2022 Opeyemi O. Enoch, Catherine O. Alakofa , Lukman O. Salaudeen

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Odd Order Integrator with Two Complex Functions Control Parameters for Solving Systems of Initial Value Problems. (2022). Journal of the Nigerian Society of Physical Sciences, 5(1), 968. https://doi.org/10.46481/jnsps.2023.968