A study on fractional host–parasitoid population dynamical model to describe insect species

S Kumar, A Kumar, B Samet… - Numerical Methods for …, 2021 - Wiley Online Library
The parasitoid is a broad evolutionary association of hymenopteran insects which are well‐
known as biological control agents. Parasites are different from predators because parasites …

[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 …

[HTML][HTML] Numerical study for improvement the cooling process through a model of Powell-Eyring fluid flow over a stratified stretching sheet with magnetic field

MM Khader, MM Babatin - Case Studies in Thermal Engineering, 2022 - Elsevier
The spectral collocation method based on the Vieta-Lucas polynomials is introduced here
for the flow of non-Newtonian Powell-Eyring fluid. The attentiveness is focused on some …

Newfangled linearization formula of certain Nonsymmetric Jacobi polynomials: Numerical treatment of nonlinear Fisher's equation

WM Abd-Elhameed, A Ali… - Journal of Function …, 2023 - Wiley Online Library
This article is devoted to deriving a new linearization formula of a class for Jacobi
polynomials that generalizes the third‐kind Chebyshev polynomials class. In fact, this new …

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 …

Spectral treatment of high-order Emden–Fowler equations based on modified Chebyshev polynomials

WM Abd-Elhameed, MS Al-Harbi, AK Amin… - Axioms, 2023 - mdpi.com
This paper is devoted to proposing numerical algorithms based on the use of the tau and
collocation procedures, two widely used spectral approaches for the numerical treatment of …

Modeling and numerical simulation for covering the fractional COVID-19 model using spectral collocation-optimization algorithm

MM Khader, M Adel - Fractal and fractional, 2022 - mdpi.com
A primary aim of this study is to examine and simulate a fractional Coronavirus disease
model by providing an efficient method for solving numerically this important model. In the …

[PDF][PDF] Spectral tau technique via Lucas polynomials for the time-fractional diffusion equation

WM Abd-Elhameed, AF Abu Sunayh, MH Alharbi… - Aims Math, 2024 - aimspress.com
Here, we provide a new method to solve the time-fractional diffusion equation (TFDE)
following the spectral tau approach. Our proposed numerical solution is expressed in terms …

Implementing the Vieta–Lucas Collocation Optimization Method for MHD Casson and Williamson model under the effects of heat generation and viscous dissipation

MM Khader, A Eid, M Adel - Journal of Mathematics, 2022 - Wiley Online Library
Theoretical investigation of magnetohydrodynamics (MHD) Casson and Williamson fluid
flow and heat and mass transfer in laminar flow through a stretching sheet in the presence of …

An efficient numerical simulation for the fractional COVID-19 model using the GRK4M together with the fractional FDM

Y Ibrahim, M Khader, A Megahed, F Abd El-Salam… - Fractal and …, 2022 - mdpi.com
In this research, we studied a mathematical model formulated with six fractional differential
equations to characterize a COVID-19 outbreak. For the past two years, the disease …