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

Opeyemi O. Enoch; Catherine O.   Alakofa; Lukman O. Salaudeen

doi:10.46481/jnsps.2023.968

Authors

Opeyemi O. Enoch
opeyemi.enoch@fuoye.edu.ng
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 dierential 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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