Numerical simulation for COVID-19 model using a multidomain spectral relaxation technique

M Adel, MM Khader, TA Assiri, W Kallel - Symmetry, 2023 - mdpi.com
The major objective of this work is to evaluate and study the model of coronavirus illness by
providing an efficient numerical solution for this important model. The model under …

Studying and simulating the fractional COVID-19 model using an efficient spectral collocation approach

YF Ibrahim, SE Abd El-Bar, MM Khader, M Adel - Fractal and Fractional, 2023 - mdpi.com
We give a theoretical and numerical analysis of a coronavirus (COVID-19) infection model in
this research. A mathematical model of this system is provided, based on a collection of …

Numerical solutions to the fractional-order wave equation

MM Khader, M Inc, M Adel, MA Akinlar - International Journal of …, 2023 - World Scientific
New numerical solution to the linear fractional-order wave equation is presented. The
Liouville–Caputo sense fractional-derivative operator and Crank–Nicholson finite difference …

Transmission dynamics of fractional order SVEIR model for African swine fever virus with optimal control analysis

S Suganya, V Parthiban, L Shangerganesh… - Scientific Reports, 2024 - nature.com
Understanding the dynamics of the African swine fever virus during periods of intense
replication is critical for effective combatting of the rapid spread. In our research, we have …

Bifurcation and theoretical analysis of a fractional-order Hepatitis B epidemic model incorporating different chronic stages of infection

A Ahmad, M Farman, PA Naik, E Hincal, F Iqbal… - Journal of Applied …, 2024 - Springer
Understanding Hepatitis B with chronic infection therapy and data analysis requires
develo** a mathematical model of the dynamical system. This study aims to examine the …

[PDF][PDF] Numerical simulation for the fractional-order smoking model using a spectral collocation method based on the Gegenbauer wavelet polynomials

MM Khader, AH Tedjani - Journal of Applied Analysis & …, 2024 - jaac-online.com
Smoking is a social trend that is prevalent around the world, particularly in places of learning
and at some significant events. The World Health Organization (WHO) defines smoking as …

An efficient class of discrete finite difference/element scheme for solving the fractional reaction subdiffusion equation

MM Khader - Mathematical Methods in the Applied Sciences, 2023 - Wiley Online Library
An estimate for the fractional reaction subdiffusion equation is presented by a discrete Crank–
Nicolson finite element method (FEM), which we can obtain by using the finite difference …

[PDF][PDF] On a fractional variable-order model of MERS-CoV

M Khalil, A Arafa, A Sayed - Nat. Sci. Publ., 2023 - naturalspublishing.com
In this paper, a non-integer variable-order epidemiological model is presented to study the
human-to-human transmission of Middle East respiratory syndrome coronavirus (MERS …

Studying of the Covid-19 model by using the finite element method: theoretical and numerical simulation

W Alhejili, MM Khader, K Lotfy, AA El-Bary, M Adel - Soft Computing, 2024 - Springer
This study simulates the coronavirus infection (Covid-19) which is given as a mathematical
model based on a set of ordinary differential equations. We provide this numerical treatment …

New Challenges Arising in Engineering Problems with Fractional and Integer Order-II

HM Baskonus, LMS Ruiz, A Ciancio - Fractal and Fractional, 2022 - search.proquest.com
Modern science is one of the most-used commodities globally, and it is especially important
in determining the sources of various threats faced by the world. These problems are studied …