[Retracted] A Comparison of Finite Difference and Finite Volume Methods with Numerical Simulations: Burgers Equation Model

AH Ali, AS Jaber, MT Yaseen, M Rasheed… - …, 2022 - Wiley Online Library
In this paper, we present an intensive investigation of the finite volume method (FVM)
compared to the finite difference methods (FDMs). In order to show the main difference in the …

Numerical solutions of fractional-order electrical rlc circuit equations via three numerical techniques

U Arshad, M Sultana, AH Ali, O Bazighifan… - Mathematics, 2022 - mdpi.com
In this article, three different techniques, the Fractional Perturbation Iteration Method (FPIA),
Fractional Successive Differentiation Method (FSDM), and Fractional Novel Analytical …

New efficient computations with symmetrical and dynamic analysis for solving higher-order fractional partial differential equations

M Sultana, U Arshad, AH Ali, O Bazighifan… - Symmetry, 2022 - mdpi.com
Due to the rapid development of theoretical and computational techniques in the recent
years, the role of nonlinearity in dynamical systems has attracted increasing interest and has …

Novel oscillation theorems and symmetric properties of nonlinear delay differential equations of fourth-order with a middle term

B Almarri, S Janaki, V Ganesan, AH Ali, K Nonlaopon… - Symmetry, 2022 - mdpi.com
The goal of this paper was to study the oscillations of a class of fourth-order nonlinear delay
differential equations with a middle term. Novel oscillation theorems built on a proper Riccati …

[HTML][HTML] Neutral differential equations with distribution deviating arguments: Oscillation conditions

B Qaraad, O Bazighifan, TA Nofal, AH Ali - Journal Of Ocean Engineering …, 2022 - Elsevier
In this work, we investigate the oscillatory behavior of solutions to third-order equations class
of the form (ϝ (ϑ)(y ″(ϑ)) α)′+∫ ab ρ (ϑ, s) ϰ α (ς (ϑ, s)) ds= 0, ϑ≥ ϑ 0, where y (ϑ)= ϰ …

Symmetrical solutions for non-local fractional integro-differential equations via caputo–katugampola derivatives

KS Al-Ghafri, AT Alabdala, SS Redhwan, O Bazighifan… - Symmetry, 2023 - mdpi.com
Fractional calculus, which deals with the concept of fractional derivatives and integrals, has
become an important area of research, due to its ability to capture memory effects and non …

Space-time petrov-discontinuous galerkin finite element method for solving linear convection-diffusion problems

MW AbdulRidha, HA Kashkool - Journal of Physics: Conference …, 2022 - iopscience.iop.org
The paper presents the theory of the space-time Petrov-discontinuous Galerkin finite
element (PDGFE) method for the discretization of the nonstationary linear convection …

Third-order neutral differential equations with damping and distributed delay: New asymptotic properties of solutions

A Al Themairi, B Qaraad, O Bazighifan, K Nonlaopon - Symmetry, 2022 - mdpi.com
In this paper, we are interested in studying the oscillation of differential equations with a
damping term and distributed delay. We establish new criteria that guarantee the oscillation …

Oscillation results of third-order differential equations with symmetrical distributed arguments

B Qaraad, O Bazighifan, AH Ali, AA Al-Moneef… - Symmetry, 2022 - mdpi.com
This paper is concerned with the oscillation and asymptotic behavior of certain third-order
nonlinear delay differential equations with distributed deviating arguments. By establishing …

[PDF][PDF] Exact solutions and finite time stability of linear conformable fractional systems with pure delay

AM Elshenhab, XT Wang, F Mofarreh, O Bazighifan - CMES, 2022 - researchgate.net
We study nonhomogeneous systems of linear conformable fractional differential equations
with pure delay. By using new conformable delayed matrix functions and the method of …