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A study on fractional host–parasitoid population dynamical model to describe insect species
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 …
known as biological control agents. Parasites are different from predators because parasites …
Spectral treatment of high-order Emden–Fowler equations based on modified Chebyshev polynomials
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 …
collocation procedures, two widely used spectral approaches for the numerical treatment of …
[HTML][HTML] Numerical simulation by using the spectral collocation optimization method associated with Vieta-Lucas polynomials for a fractional model of non-Newtonian …
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 …
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
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 …
for the flow of non-Newtonian Powell-Eyring fluid. The attentiveness is focused on some …
Solving Fractional Generalized Fisher–Kolmogorov–Petrovsky–Piskunov's Equation Using Compact‐Finite Different Methods Together with Spectral Collocation …
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 …
numerically one of the most important models in physics and engineering mathematics …
A novel technique to analyze the fractional model of Williamson and Casson non-Newtonian boundary layer flow
Purpose The current analysis produces the fractional sample of non-Newtonian Casson and
Williamson boundary layer flow considering the heat flux and the slip velocity. An extended …
Williamson boundary layer flow considering the heat flux and the slip velocity. An extended …
[HTML][HTML] Modeling and numerical simulation for covering the fractional COVID-19 model using spectral collocation-optimization algorithm
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 …
model by providing an efficient method for solving numerically this important model. In the …
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 …
polynomials that generalizes the third‐kind Chebyshev polynomials class. In fact, this new …
[PDF][PDF] Spectral tau technique via Lucas polynomials for the time-fractional diffusion equation
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 …
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
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 …
flow and heat and mass transfer in laminar flow through a stretching sheet in the presence of …