Numerical simulation for a high-dimensional chaotic Lorenz system based on Gegenbauer wavelet polynomials

M Alqhtani, MM Khader, KM Saad - Mathematics, 2023 - mdpi.com
We provide an effective simulation to investigate the solution behavior of nine-dimensional
chaos for the fractional (Caputo-sense) Lorenz system using a new approximate technique …

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 …

Sensitivity analysis and global stability of epidemic between Thais and tourists for Covid-19

R Sungchasit, IM Tang, P Pongsumpun - Scientific Reports, 2024 - nature.com
This study employs a mathematical model to analyze and forecast the severe outbreak of
SARS-CoV-2 (Severe Acute Respiratory Syndrome Coronavirus 2), focusing on the socio …

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 …

[HTML][HTML] Theoretical treatment and implementation of the SCM included Appell-Changhee polynomials for the fractional delayed carbon absorption-emission model

MM Khader, M Adel, MB Riaz, H Ahmad - Results in Physics, 2024 - Elsevier
Some researchers have started to perform in-depth studies on carbon dioxide emissions
phenomena because global warming has caused immense damage. In this work, as a …

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 …

Numerical analysis of the MHD Williamson nanofluid flow over a nonlinear stretching sheet through a Darcy porous medium: Modeling and simulation

MM Khader, H Ahmad, M Adel, AM Megahed - Open Physics, 2024 - degruyter.com
In the current study, we delve into examining the movement of a nanofluid within a
Williamson boundary layer, focusing on the analysis of heat and mass transfer (HMT) …