Numerical solution for boundary layer flow due to a nonlinearly stretching sheet with variable thickness and slip velocity

MM Khader, AM Megahed - The European physical journal plus, 2013 - Springer
This article presents a numerical solution for the flow of a Newtonian fluid over an
impermeable stretching sheet with a power law surface velocity, slip velocity and variable …

[HTML][HTML] Numerical simulation by using the spectral collocation optimization method associated with Vieta-Lucas polynomials for a fractional model of non-Newtonian …

M Adel, TA Assiri, MM Khader, MS Osman - Results in Physics, 2022 - Elsevier
The present study is made to develop the fractional model of non-Newtonian Casson and
Williamson boundary layer flow in the fluid flow taking into account the heat flux and the slip …

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 …

Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition

M Dehghan, M Abbaszadeh - Applied Numerical Mathematics, 2016 - Elsevier
The element free Galerkin technique is a meshless method based on the variational weak
form in which the test and trial functions are the shape functions of moving least squares …

Solving Fractional Generalized Fisher–Kolmogorov–Petrovsky–Piskunov's Equation Using Compact‐Finite Different Methods Together with Spectral Collocation …

MZ Youssef, MM Khader, I Al-Dayel… - Journal of …, 2022 - Wiley Online Library
The main target of this work is presenting two efficient accurate algorithms for solving
numerically one of the most important models in physics and engineering mathematics …

[HTML][HTML] Legendre spectral-collocation method for solving some types of fractional optimal control problems

NH Sweilam, TM Al-Ajami - Journal of advanced research, 2015 - Elsevier
In this paper, the Legendre spectral-collocation method was applied to obtain approximate
solutions for some types of fractional optimal control problems (FOCPs). The fractional …

[HTML][HTML] Numerical approaches for solving complex order monkeypox mathematical model

NH Sweilam, ZN Mohammed, WSA Kareem - Alexandria Engineering …, 2024 - Elsevier
The monkeypox virus (MPXV) is what causes monkeypox (MPX) disease, which is
comparable to both smallpox and cowpox. Using classical, fractional-order and complex …

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 …

The discontinuous Galerkin finite element method for fractional cable equation

Y Zheng, Z Zhao - Applied Numerical Mathematics, 2017 - Elsevier
The cable equation as one of the best models for simulating neurodynamics can be derived
from the Nernst–Planck equation which simulates the electrodiffusion of ions. Recently …

The time discontinuous space-time finite element method for fractional diffusion-wave equation

Y Zheng, Z Zhao - Applied Numerical Mathematics, 2020 - Elsevier
In this paper a time discontinuous space-time finite element method for fractional diffusion-
wave equation is studied. The existence and the uniqueness of the numerical solution are …