Numerical simulation utilizing modified fractional Euler formula for the Ebola virus model and blood ethanol concentration system

Khader, M. M.; Shloof, A. M.; Ali Hamead, Halema

doi:10.24200/sci.2025.66326.9976

Numerical simulation utilizing modified fractional Euler formula for the Ebola virus model and blood ethanol concentration system

Articles in Press

Document Type : Research Article

Authors

M. M. Khader ¹

A. M. Shloof ²

Halema Ali Hamead ³

¹ Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia

² Department of Mathematics, Faculty of Science, University of Zintan, AlZintan, Libya

³ Department of Mathematics, Faculty of Education, University of Aljufra, Aljufra, Libya

10.24200/sci.2025.66326.9976

Abstract

In this study, we numerically investigate two significant medical models, Ebola Viral Disease (EVD) and Blood Ethanol Concentration (BEC) models-both formulated using Caputo-fractional derivatives. We develop and apply the Modified Fractional Euler Method (MFEM) for their solution, with a specific focus on error analysis. Comparative studies with the classical Runge-Kutta fourth-order method (RK4M) demonstrate that MFEM provides a computationally efficient and accurate alternative for solving such systems. The major features of the given procedure are its ease of application to this type of problem and other systems in various fields, in addition to the absence of numerical errors accumulating. Finally, we can control the increase in the convergence rate and the stability of the simulation process. The convergence examination and error estimation for the suggested scheme are also included. The importance of this study also lies in its contribution to our understanding of the dynamics of these two models in their fractional form. In addition, those numerical investigations demonstrate how control parameters affect specific components within these models.

Keywords

Ebola virus model

BEC system

Caputo fractional derivatives

MFEM

RK4M

Subjects