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All Journal International Journal of Electrical and Computer Engineering
Kamel Al-Khaled
Jordan university of science and technology
Computer Science & IT Electrical & Electronics Engineering

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An analytic study of the fractional order model of HIV-1 virus and CD4+ T-cells using adomian method Kamel Al-Khaled; Maha Yousef
International Journal of Electrical and Computer Engineering (IJECE) Vol 11, No 2: April 2021
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijece.v11i2.pp1460-1468

Abstract

In this article, we study the fractional mathematical model of HIV-1 infection of CD4+ T-cells, by studying a system of fractional differential equations of first order with some initial conditions, we study the changing effect of many parameters. The fractional derivative is described in the caputo sense. The adomian decomposition method (Shortly, ADM) method was used to calculate an approximate solution for the system under study. The nonlinear term is dealt with the help of adomian polynomials. Numerical results are presented with graphical justifications to show the accuracy of the proposed methods.
Sinc collocation linked with finite differences for Korteweg-de Vries Fractional Equation Kamel Al-Khaled
International Journal of Electrical and Computer Engineering (IJECE) Vol 10, No 1: February 2020
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1017.185 KB) | DOI: 10.11591/ijece.v10i1.pp512-520

Abstract

A novel numerical method is proposed for Korteweg-de Vries Fractional Equation. The fractional derivatives are described based on the Caputo sense. We construct the solution using different approach, that is based on using collocation techniques. The method combining a finite difference approach in the time-fractional direction, and the Sinc-Collocation in the space direction, where the derivatives are replaced by the necessary matrices, and a system of algebraic equations is obtained to approximate solution of the problem. The numerical results are shown to demonstrate the efficiency of the newly proposed method. Easy and economical implementation is the strength of this method.
Computational Sinc-scheme for extracting analytical solution for the model Kuramoto-Sivashinsky equation Kamel Al-Khaled; Issam Abu-Irwaq
International Journal of Electrical and Computer Engineering (IJECE) Vol 9, No 5: October 2019
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (3533.133 KB) | DOI: 10.11591/ijece.v9i5.pp3720-3731

Abstract

The present article is designed to supply two different numericalsolutions for solving  Kuramoto-Sivashinsky equation. We have madean attempt to develop a numerical solution via the use ofSinc-Galerkin method for  Kuramoto-Sivashinsky equation, Sincapproximations to both derivatives and indefinite integrals reducethe solution to an explicit system of algebraic equations. The fixedpoint theory is used to prove the convergence of the proposedmethods. For comparison purposes, a combination of a Crank-Nicolsonformula in the time direction, with the Sinc-collocation in thespace direction is presented, where the derivatives in the spacevariable are replaced by the necessary matrices to produce a systemof algebraic equations. In addition, we present numerical examplesand comparisons to support the validity of these proposedmethods.
Co-Authors Issam Abu-Irwaq Maha Yousef