[HTML][HTML] Dynamical analysis of a nonlinear fractional cervical cancer epidemic model with the nonstandard finite difference method

AR Butt, AA Saqib, AS Alshomrani, A Bakar… - Ain Shams Engineering …, 2024 - Elsevier
In this paper, we analyze the fractional compartmental model in the sense of Caputo
derivative for the dynamics of the novel human papillomavirus, which causes cervical …

[HTML][HTML] Time fractional of nonlinear heat-wave propagation in a rigid thermal conductor: Numerical treatment

NH Sweilam, MM Abou Hasan, SM Al-Mekhlafi… - Alexandria Engineering …, 2022 - Elsevier
The objective of this article is to present the time-fractional nonlinear one-dimensional
equations of damped heat wave propagation in a rigid thermal conductor slab and predicts …

[HTML][HTML] Applying the Tau technique in multi-player differential games: A novel approach in economic strategy analysis

AT Alabdala, ELS Essam, W Adel - Partial Differential Equations in Applied …, 2024 - Elsevier
This paper delves deeper into the intricacies of multiplayer differential games, exploring their
applications in economic strategy analysis through the innovative use of the Tau technique …

Innovative stochastic finite difference methods in mean field games: A Wiener process approach

MT Alabdullah, E El-Siedy, EM Roushdy… - Nonlinear …, 2024 - nfaa.kyungnam.ac.kr
This study explores the integration of Wiener processes into stochastic extensionsof mean
field games (MFGs), employing nonstandard finite difference methods (NSFDMs) for …

Optimal strategies in bioeconomic differential games: Insights from Chebyshev Tau method

SH Alkharaz, E El-Siedy, EM Roushdy… - Nonlinear Functional …, 2024 - koreascience.kr
In the realm of differential games and bioeconomic modeling, where intricate systems and
multifaceted interactions abound, we explore the precision and efficiency of the Chebyshev …

[PDF][PDF] Numerical Solution of the Newtonian Plane Couette Flow with Linear Dynamic Wall Slip

MM Abou Hasan, EAA Ahmed, AF Ghaleb… - Fluids, 2024 - mas.ucy.ac.cy
An efficient numerical approach based on weighted-average finite differences is used to
solve the Newtonian plane Couette flow with wall slip, obeying a dynamic slip law that …

Numerical solution of the Newtonian plane Couette flow with linear dynamic wall slip

M Hasan, EAA Ahmed, AF Ghaleb… - arXiv preprint arXiv …, 2024 - arxiv.org
An efficient numerical approach based on weighted average finite differences is used to
solve the Newtonian plane Couette flow with wall slip, obeying a dynamic slip law that …

ANALYTIC SOLUTION OF HIGH ORDER FRACTIONAL BOUNDARY VALUE PROBLEMS

MM Abou Hasan, SA Alkhatib - Nonlinear Functional Analysis …, 2023 - nfaa.kyungnam.ac.kr
The existence of solution of the fractional order differential equations is very important
mathematical field. Thus, in this work, we discuss, under some hypothesis, the existence of a …

Nonstandard finite difference treatment of a differential game problem

MTAMT Alabdullah, MM Hasan, EA El Siedyb - 2023 - researchsquare.com
This paper presents and analyses some Mean Field Games (MFGs) models that depict
interactions between two groups where the number of participants tends to+ infinity …

[PDF][PDF] Partial Differential Equations in Applied Mathematics

AT Alabdala, ELS Essam, W Adel - researchgate.net
This paper delves deeper into the intricacies of multiplayer differential games, exploring their
applications in economic strategy analysis through the innovative use of the Tau technique …