Application of shifted Vieta-Lucas polynomials for the numerical treatment of Volterra-integro differential equations

IKECHUKWU  OTAIDE; Matthew Oluwayemi; KENNETH   OGEH

doi:10.61298/pnspsc.2024.1.84

Authors

Ikechukwu Jackson Otaide Department of Mathematics, Federal University of Petroleum Resources, Effurun, Delta State, Nigeria https://orcid.org/0000-0003-0720-3399
Matthew Olanrewaju Oluwayemi
oluwayemimatthew@gmail.com
Department of Mathematics and Statistics, Margaret Lawrence University, Galilee, Delta State, Nigeria https://orcid.org/0000-0003-3170-6818
Kenneth Oke Ogeh Department of Mathematical Sciences, Edwin Clark University, Kiagbodo, Delta State, Nigeria https://orcid.org/0000-0001-9390-986X

Keywords:

Variational iteration method, Volterra integro differential equation, shifted Vieta-Lucas polynomials

Abstract

In this study, the numerical solution of the Volterra-integro differential equations was obtained by applying the variational iteration strategy with the shifted Vieta-Lucas polynomials. The proposed method builds the shifted Vieta-Lucas polynomials for the Volterra-integro differential equation which are then used as basis functions for the approximation. Numerical examples were given to establish the effectiveness and dependability of the recommended approach. Calculations were performed using Maple 2022 software.

Dimensions

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Application of shifted Vieta-Lucas polynomials for the numerical treatment of Volterra-integro differential equations

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