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

https://doi.org/10.46481/jnsps.2023.968

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

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

Issue

Section

Original Research