An efficient spectral collocation method for the dynamic simulation of the fractional epidemiological model of the Ebola virus

HM Srivastava, KM Saad, MM Khader - Chaos, Solitons & Fractals, 2020 - Elsevier
This article investigates a family of approximate solutions for the fractional model (in the
Liouville-Caputo sense) of the Ebola virus via an accurate numerical procedure (Chebyshev …

Numerical approximations to the nonlinear fractional-order Logistic population model with fractional-order Bessel and Legendre bases

M Izadi, HM Srivastava - Chaos, Solitons & Fractals, 2021 - Elsevier
The main aim of this manuscript is to obtain the approximate solutions of the nonlinear
Logistic equation of fractional order by develo** a collocation approach based on the …

A discretization approach for the nonlinear fractional logistic equation

M Izadi, HM Srivastava - Entropy, 2020 - mdpi.com
The present study aimed to develop and investigate the local discontinuous Galerkin
method for the numerical solution of the fractional logistic differential equation, occurring in …

Implementation of an accurate method for the analysis and simulation of electrical R‐L circuits

M Adel, HM Srivastava… - Mathematical Methods in …, 2023 - Wiley Online Library
In this study, we propose to introduce and apply an accurate numerical procedure to solve
the mathematical model of fractional order, which describes the electrical circuits composed …

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 …

A pseudo‐operational collocation method for variable‐order time‐space fractional KdV–Burgers–Kuramoto equation

K Sadri, K Hosseini, E Hinçal, D Baleanu… - … Methods in the …, 2023 - Wiley Online Library
The idea of this work is to provide a pseudo‐operational collocation scheme to deal with the
solution of the variable‐order time‐space fractional KdV–Burgers–Kuramoto equation …

Numerical study for the fractional RL, RC, and RLC electrical circuits using Legendre pseudo‐spectral method

MM Khader, JF Gómez‐Aguilar… - International Journal of …, 2021 - Wiley Online Library
In the presented work, we present an accurate procedure, which is the spectral method, to
find a solution to a certain class of the very important fractional (described by the Liouville …

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 …

Numerical solution of the fractional‐order logistic equation via the first‐kind Dickson polynomials and spectral tau method

A Abd Elaziz El‐Sayed, S Boulaaras… - … Methods in the …, 2023 - Wiley Online Library
In this article, a numerical technique for solving numerically the fractional‐order logistic
equation (FLE) is presented. The fractional‐order derivative of the studied problem is given …

A novel direct method based on the Lucas multiwavelet functions for variable‐order fractional reaction‐diffusion and subdiffusion equations

H Dehestani, Y Ordokhani… - Numerical Linear Algebra …, 2021 - Wiley Online Library
In this article, we study the numerical technique for variable‐order fractional reaction‐
diffusion and subdiffusion equations that the fractional derivative is described in Caputo's …