21 results on '"Mohammed Shqair"'
Search Results
2. Fractional-Order Mathematical Modeling of Methicillin- Resistant Staphylococcus aureus Transmission in Hospitals
- Author
-
Zuhur Alqahtani, Mohammed Shqair, Randa Albdaiwi, and Ahmed Hagag
- Subjects
Methicillin-resistant Staphylococcus aureus ,Adams–Bashforth–Moulton method ,Antibiotic exposure ,Admission rate ,Discharge rate ,Mathematics ,QA1-939 - Abstract
This article investigates the environmental contamination and antibiotic exposure effect on the transmission dynamics of the Methicillin-Resistant Staphylococcus aureus (MRSA) model in hospitals using the fractional Adams–Bashforth–Moulton Method (ABMM). This epidemic model simulates the dynamics of patient populations, bacterial contamination, and healthcare worker safety under varying conditions. This model provides critical insights into the interactions between hospital practices, environmental factors, and infection dynamics, demonstrating the importance of symmetry in balancing hospital admission and discharge rates to manage infection spread effectively. The analysis extends to the impact of environmental bacterial density and hospital admission rates on patient colonization. Increasing admission rates introduce more susceptible patients, exacerbating infection spread when bacterial density is high. Conversely, lower admission rates and bacterial density result in a more controlled infection environment. The model further investigates how varying discharge rates influence colonization dynamics, highlighting that effective discharge practices can mitigate infection spread, especially in high-bacterial density scenarios. It must be noted that this model is studied fractionally for the first time. Overall, this model provides critical insights into the interactions between hospital practices, environmental factors, and infection dynamics, offering valuable guidance for infection control strategies and hospital policy formulation. By adjusting fractional order constant (σ) values and analyzing different scenarios, this research aids in understanding and managing bacterial infections in healthcare settings. The proposed method is able to provide the results presented in the figures within this study considering the influence of many factors.
- Published
- 2024
- Full Text
- View/download PDF
3. Analysis and analytical simulation for a biophysical fractional diffusive cancer model with virotherapy using the Caputo operator
- Author
-
Mohammed Alabedalhadi, Mohammed Shqair, and Ibrahim Saleh
- Subjects
cancer model ,biophysics ,immune response ,caputo fractional derivative ,laplace residual power series ,Biology (General) ,QH301-705.5 ,Biotechnology ,TP248.13-248.65 - Abstract
In this paper, a biophysical fractional diffusive cancer model with virotherapy is thoroughly analyzed and analytically simulated. The goal of this biophysical model is to represent both the dynamics of cancer development and the results of virotherapy, which uses viruses to target and destroy cancer cells. The Caputo sense is applied to the fractional derivatives. We look at the governing model's existence and uniqueness. For analytical solutions, the Laplace residual power series approach is used. The study investigates the model's dynamic behavior, shedding light on the development of cancer and the effects of virotherapy. The research advances our knowledge of cancer modeling and treatment options. Numerical simulations show the agreement between the analytical results and the related numerical solutions, proving the usefulness of the analytical solution.
- Published
- 2023
- Full Text
- View/download PDF
4. MHD effects on Casson fluid flow squeezing between parallel plates
- Author
-
Amal Al-Hanaya, Munirah Alotaibi, Mohammed Shqair, and Ahmed Eissa Hagag
- Subjects
casson fluid ,squeezing ,mhd fluid ,fractional calculus ,semi-analytical iterative approach ,tam method ,Mathematics ,QA1-939 - Abstract
We introduce this work by studying the non-Newtonian fluids, which have huge applications in different science fields. We decided to concentrate on taking the time-dependent Casson fluid, which is non-Newtonian, compressed between two flat plates. in fractional form and the magnetohydrodynamic and Darcian flow effects in consideration using the semi-analytical iterative method created by Temimi and Ansari, known as TAM, this method is carefully selected to be suitable for studying the Navier-Stokes model in the modified form to express the studied case mathematically. To simplify the partial differential equations of the system to the nonlinear ordinary differential equation of order four the similarity transformations suggested by Wang (1976) are used. The TAM approach demonstrates a high degree of accuracy, efficiency, and convergence when applied to the resolution of both linear and nonlinear problems, and the results in this article are used to study the effect of the related factors like squeeze number Sq, Casson parameterβ, magnetohydrodynamic parameter Mg and permeability constant Mp and examining the skin friction coefficient effect. The velocity profile is studied numerically, which is tabulated and graphically represented to show and confirm the theoretical study. We can conclude that the success of the proposed method in studying time-dependent Casson fluid, which is non-Newtonian, compressed between two flat plates provides opportunities for additional study and advancements in fluid mechanics using the techniques.
- Published
- 2023
- Full Text
- View/download PDF
5. Solving a Novel System of Time-Dependent Nuclear Reactor Equations of Fractional Order
- Author
-
Doaa Filali, Mohammed Shqair, Fatemah A. Alghamdi, Sherif Ismaeel, and Ahmed Hagag
- Subjects
nuclear reactor equation ,Laplace transform method ,residual power series method ,factional differential equations ,cylindrical reactors ,Mathematics ,QA1-939 - Abstract
Building upon the previous research that solved neutron diffusion equations in simplified slab geometry, this study advances the field by addressing the more complex cylindrical geometry, focusing on neutron diffusion equations that are coupled with delayed neutrons in cylindrical reactors of fractional order. The method of solving used integrates the technique of residual power series (RPS) with the Laplace transform (LT) method. Anomalous neutron behavior is explained by examining the non-Gaussian scenario with various fractional parameters α. The LRPSM Laplace transform and residual power series method employed in this approach eliminates the complex difficulties. This simplicity makes the method particularly coherent with different fractional calculus applications. To validate the proposed method, numerical simulations are conducted with two different initial conditions representing distinct scenarios. The obtained results are presented in suitable tables and figures. It should be emphasized that this system is solved for the first time utilizing fractional calculus techniques. The outcomes are consistent with those achieved using the Adomian decomposition method.
- Published
- 2024
- Full Text
- View/download PDF
6. Analytical solutions to the coupled fractional neutron diffusion equations with delayed neutrons system using Laplace transform method
- Author
-
Aliaa Burqan, Mohammed Shqair, Ahmad El-Ajou, Sherif M. E. Ismaeel, and Zeyad AlZhour
- Subjects
diffusion equation ,kinetic exact solution ,laplace transform ,caputo factional operator ,Mathematics ,QA1-939 - Abstract
The neutron diffusion equation (NDE) is one of the most important partial differential equations (PDEs), to describe the neutron behavior in nuclear reactors and many physical phenomena. In this paper, we reformulate this problem via Caputo fractional derivative with integer-order initial conditions, whose physical meanings, in this case, are very evident by describing the whole-time domain of physical processing. The main aim of this work is to present the analytical exact solutions to the fractional neutron diffusion equation (F-NDE) with one delayed neutrons group using the Laplace transform (LT) in the sense of the Caputo operator. Moreover, the poles and residues of this problem are discussed and determined. To show the accuracy, efficiency, and applicability of our proposed technique, some numerical comparisons and graphical results for neutron flux simulations are given and tested at different values of time $ t $ and order $ \alpha $ which includes the exact solutions (when $ \alpha = 1). $ Finally, Mathematica software (Version 12) was used in this work to calculate the numerical quantities.
- Published
- 2023
- Full Text
- View/download PDF
7. A solution for the neutron diffusion equation in the spherical and hemispherical reactors using the residual power series
- Author
-
Ahmad El-Ajou, Mohammed Shqair, Ibrahim Ghabar, Aliaa Burqan, and Rania Saadeh
- Subjects
neutron diffusion ,power series ,radial flux ,radiation boundary condition ,nuclear reactor physics ,Physics ,QC1-999 - Abstract
A novel analytical solution to the neutron diffusion equation is proposed in this study using the residual power series approach for both spherical and hemispherical fissile material reactors. Various boundary conditions are investigated, including zero flux on the boundary, zero flux on the extrapolated boundary distance, and the radiation boundary condition (RBC). The study also shows how two hemispheres with opposing flat faces interact. We give numerical results for the same energy neutrons diffused in pure P239u. By qualitative comparison with the homotopy perturbation method and Bessel function-based solutions, the residual power series method (RPSM) presents accurate series solutions that converge to the exact solutions, as shown in this study. Moreover, numerical results were shown to be improved by the computer implementation of the analytic solutions.
- Published
- 2023
- Full Text
- View/download PDF
8. Using Laplace Residual Power Series Method in Solving Coupled Fractional Neutron Diffusion Equations with Delayed Neutrons System
- Author
-
Mohammed Shqair, Ibrahim Ghabar, and Aliaa Burqan
- Subjects
diffusion equation ,kinetic point equation ,Laplace residual power series ,fractional calculus ,Thermodynamics ,QC310.15-319 ,Mathematics ,QA1-939 ,Analysis ,QA299.6-433 - Abstract
In this paper, a system of coupled fractional neutron diffusion equations with delayed neutrons was solved efficiently by using a combination of residual power series and Laplace transform techniques, and the anomalous diffusion was considered by taking the non-Gaussian case with different values of fractional parameter α. The Laplace residual power series method (LRPSM) does not require differentiation, conversion, or discretization for the assumed conditions, so the approach is simple and suitable for solving higher-order fractional differential equations. To assure the theoretical results, two different neutron flux initial conditions were presented numerically, where the needed Mathematica codes were performed using essential nuclear reactor cross-section data, and the results for different values of times were tabulated and graphically figured out. Finally, it must be noted that the results align with the Adomian decomposition method.
- Published
- 2023
- Full Text
- View/download PDF
9. Traveling Wave Solutions for Complex Space-Time Fractional Kundu-Eckhaus Equation
- Author
-
Mohammed Alabedalhadi, Mohammed Shqair, Shrideh Al-Omari, and Mohammed Al-Smadi
- Subjects
fractional Kundu-Eckhaus equation ,solitary wave ,kink wave ,truncated M-fractional derivative ,Mathematics ,QA1-939 - Abstract
In this work, the class of nonlinear complex fractional Kundu-Eckhaus equation is presented with a novel truncated M-fractional derivative. This model is significant and notable in quantum mechanics with good-natured physical characteristics. The motivation for this paper is to construct new solitary and kink wave solutions for the governing equation using the ansatz method. A complex-fractional transformation is applied to convert the fractional Kundu-Eckhaus equation into an ordinary differential equations system. The equilibria of the corresponding dynamical system will be presented to show the existence of traveling wave solutions for the governing model. A novel kink and solitary wave solutions of the governing model are realized by means of the proposed method. In order to gain insight into the underlying dynamics of the obtained solutions, some graphical representations are drawn. For more illustration, several numerical applications are given and analyzed graphically to demonstrate the ability and reliability of the method in dealing with various fractional engineering and physical problems.
- Published
- 2023
- Full Text
- View/download PDF
10. Solution of different geometries reflected reactors neutron diffusion equation using the homotopy perturbation method
- Author
-
Mohammed Shqair
- Subjects
Physics ,QC1-999 - Abstract
The Homotopy Perturbation Method (HPM) proves continuous efficiency for a long time in solving linear and nonlinear mathematical differential equations and their applications in physical and engineering phenomena. In this work, HPM is applied to formulate new analytic solutions of time-independent neutron diffusion equation for different reflected reactor geometries, which is essential in describing the behaviour of the neutrons in the nuclear reactors. The reflector part is added to the core to minimize the critical dimensions and critical mass too. The results have been compared with canonical calculations, as well as to that taken from transport theory. This comparison has been achieved after computationally applying the developed theory and analytical formulas in numerical experiments. The methodology furnishes the ground for further future research in this field. Keywords: Neutron diffusion, Homotopy perturbation method, Flux calculation, Critical system, Reflected reactor, Bessel function
- Published
- 2019
- Full Text
- View/download PDF
11. Developing a new approaching technique of homotopy perturbation method to solve two-group reflected cylindrical reactor
- Author
-
Mohammed Shqair
- Subjects
Physics ,QC1-999 - Abstract
The solution of neutron diffusion equation is important to describe the behavior of the neutrons in the nuclear reactors. The essential cylindrical reactor geometry will be studied in this work, where the reactor reflector part is added to the core part to minimize its critical radius, and the neutrons diffuse in two different velocities. The massive results when diversification of the appropriate new approaching technique of homotopy perturbation method (HPM) represent its flexibility and suitability to deal with different nuclear reactor boundary conditions. To assure our results, a comparison with classical results and transport theory data has been achieved which made after needed simplification to one velocity case. The necessary C++ codes using GSL library are accomplished to attain this comparison. Keywords: Neutron diffusion, Homotopy perturbation method, Flux calculation, Critical system, Cylindrical geometry, Reflected reactor, Bessel function
- Published
- 2019
- Full Text
- View/download PDF
12. Abundant Exact Travelling Wave Solutions for a Fractional Massive Thirring Model Using Extended Jacobi Elliptic Function Method
- Author
-
Mohammed Shqair, Mohammed Alabedalhadi, Shrideh Al-Omari, and Mohammed Al-Smadi
- Subjects
fractional massive Thirring model ,Jacobi expansion method ,nonlinear partial differential equation ,travelling wave solution ,quantum field theory ,Thermodynamics ,QC310.15-319 ,Mathematics ,QA1-939 ,Analysis ,QA299.6-433 - Abstract
The fractional massive Thirring model is a coupled system of nonlinear PDEs emerging in the study of the complex ultrashort pulse propagation analysis of nonlinear wave functions. This article considers the NFMT model in terms of a modified Riemann–Liouville fractional derivative. The novel travelling wave solutions of the considered model are investigated by employing an effective analytic approach based on a complex fractional transformation and Jacobi elliptic functions. The extended Jacobi elliptic function method is a systematic tool for restoring many of the well-known results of complex fractional systems by identifying suitable options for arbitrary elliptic functions. To understand the physical characteristics of NFMT, the 3D graphical representations of the obtained propagation wave solutions for some free physical parameters are randomly drawn for a different order of the fractional derivatives. The results indicate that the proposed method is reliable, simple, and powerful enough to handle more complicated nonlinear fractional partial differential equations in quantum mechanics.
- Published
- 2022
- Full Text
- View/download PDF
13. Adaptation of Conformable Residual Power Series Scheme in Solving Nonlinear Fractional Quantum Mechanics Problems
- Author
-
Mohammed Shqair, Mohammed Al-Smadi, Shaher Momani, and Essam El-Zahar
- Subjects
quantum mechanics ,fractional schrödinger equation ,residual error function ,conformable fractional derivative ,Technology ,Engineering (General). Civil engineering (General) ,TA1-2040 ,Biology (General) ,QH301-705.5 ,Physics ,QC1-999 ,Chemistry ,QD1-999 - Abstract
In this paper, the general state of quantum mechanics equations that can be typically expressed by nonlinear fractional Schrödinger models will be solved based on an attractive efficient analytical technique, namely the conformable residual power series (CRPS). The fractional derivative is considered in a conformable sense. The desired analytical solution is obtained using conformable Taylor series expansion through substituting a truncated conformable fractional series and minimizing its residual errors to extract a supportive approximate solution in a rapidly convergent fractional series. This adaptation can be implemented as a novel alternative technique to deal with many nonlinear issues occurring in quantum physics. The effectiveness and feasibility of the CRPS procedures are illustrated by verifying three realistic applications. The obtained numerical results and graphical consequences indicate that the suggested method is a convenient and remarkably powerful tool in solving different types of fractional partial differential models.
- Published
- 2020
- Full Text
- View/download PDF
14. Addendum: Shqair, M., et al. Analytical Solution for Multi-Energy Groups of Neutron Diffusion Equations by a Residual Power Series Method. Mathematics 2019, 7, 633
- Author
-
Mohammed Shqair, Ahmad El-Ajou, and Mazen Nairat
- Subjects
n/a ,Mathematics ,QA1-939 - Abstract
The authors wish to insert this additional sentence in the Acknowledgments section [...]
- Published
- 2019
- Full Text
- View/download PDF
15. Analytical Solution for Multi-Energy Groups of Neutron Diffusion Equations by a Residual Power Series Method
- Author
-
Mohammed Shqair, Ahmad El-Ajou, and Mazen Nairat
- Subjects
multi-group ,diffusion equation ,residual power series ,radial flux ,Mathematics ,QA1-939 - Abstract
In this paper, a multi-energy groups of a neutron diffusion equations system is analytically solved by a residual power series method. The solution is generalized to consider three different geometries: slab, cylinder and sphere. Diffusion of two and four energy groups of neutrons is specifically analyzed through numerical calculation at certain boundary conditions. This study revels sufficient analytical description for radial flux distribution of multi-energy groups of neutron diffusion theory as well as determination of each nuclear reactor dimension in criticality case. The generated results are compatible with other different methods data. The generated results are practically efficient for neutron reactors dimension.
- Published
- 2019
- Full Text
- View/download PDF
16. Abundant Exact Travelling Wave Solutions for a Fractional Massive Thirring Model Using Extended Jacobi Elliptic Function Method
- Author
-
Shrideh Al-Omari, Mohammed Al-Smadi, Mohammed Shqair, and Mohammed Alabedalhadi Alabedalhadi
- Subjects
Statistics and Probability ,fractional massive Thirring model ,Jacobi expansion method ,nonlinear partial differential equation ,travelling wave solution ,quantum field theory ,Statistical and Nonlinear Physics ,Analysis - Abstract
The fractional massive Thirring model is a coupled system of nonlinear PDEs emerging in the study of the complex ultrashort pulse propagation analysis of nonlinear wave functions. This article considers the NFMT model in terms of a modified Riemann–Liouville fractional derivative. The novel travelling wave solutions of the considered model are investigated by employing an effective analytic approach based on a complex fractional transformation and Jacobi elliptic functions. The extended Jacobi elliptic function method is a systematic tool for restoring many of the well-known results of complex fractional systems by identifying suitable options for arbitrary elliptic functions. To understand the physical characteristics of NFMT, the 3D graphical representations of the obtained propagation wave solutions for some free physical parameters are randomly drawn for a different order of the fractional derivatives. The results indicate that the proposed method is reliable, simple, and powerful enough to handle more complicated nonlinear fractional partial differential equations in quantum mechanics.
- Published
- 2022
- Full Text
- View/download PDF
17. Analytical Solution of Neutron Diffusion Equation in Reflected Reactors Using Modified Differential Transform Method
- Author
-
Mohammed Shqair and Essam R. El-Zahar
- Subjects
Core (optical fiber) ,Differential transform method ,Materials science ,Neutron diffusion equation ,Initial value problem ,Transport theory ,Mechanics ,Physics::Chemical Physics ,Physics::Geophysics - Abstract
In this paper, the analytical solution of neutron diffusion equation in reflected reactors is obtained using Modified Differential Transform Method (MDTM). The MDTM is applied successfully on singular and non-singular initial value problems arising for the essential reactor geometries. Here, the reactors will not only consist of fuel part (bare reactors) but also it has a core and reflected parts (reflected reactors). A comparison with results in literature and transport theory data is presented. The results confirm that the MDTM is effective and reliable in solving the considered problems.
- Published
- 2020
- Full Text
- View/download PDF
18. A new approach for the evaluation of the effective electrode spacing in spherical ion chambers
- Author
-
Mohammed Shqair and Ahmed M. Maghraby
- Subjects
Pulsed radiation ,Physics ,Nuclear and High Energy Physics ,Work (thermodynamics) ,business.industry ,05 social sciences ,050801 communication & media studies ,Transit time ,030218 nuclear medicine & medical imaging ,03 medical and health sciences ,0508 media and communications ,0302 clinical medicine ,Optics ,Method of characteristics ,Ionization chamber ,Electrode ,Always true ,Current (fluid) ,Atomic physics ,business ,Instrumentation - Abstract
Proper determination of the effective electrode spacing (d eff ) of an ion chamber ensures proper determination of its collection efficiency either in continuous or in pulsed radiation in addition to the proper evaluation of the transit time. Boag's method for the determination of d eff assumes the spherical shape of the internal electrode of the spherical ion chambers which is not always true, except for some cases, its common shape is cylindrical. Current work provides a new approach for the evaluation of the effective electrode spacing in spherical ion chambers considering the cylindrical shape of the internal electrode. Results indicated that d eff values obtained through current work are less than those obtained using Boag's method by factors ranging from 12.1% to 26.9%. Current method also impacts the numerically evaluated collection efficiency ( f ) where values obtained differ by factors up to 3% at low potential ( V ) values while at high V values minor differences were noticed. Additionally, impacts on the evaluation of the transit time ( τ i ) were obtained. It is concluded that approximating the internal electrode as a sphere may result in false values of d eff , f , and τ i .
- Published
- 2016
- Full Text
- View/download PDF
19. Cylinderically Isotropic Fractional Helmholtz Equation
- Author
-
Mazen Nairat and Mohammed Shqair
- Subjects
Azimuth ,Physics ,symbols.namesake ,Helmholtz equation ,Isotropy ,Mathematical analysis ,Fractional diffusion ,symbols ,Bessel function ,Orthogonal basis ,Fractional calculus - Abstract
Cylindrically symmetric fractional Helmholtz equation is analytically solved in an isotropic medium. The solution approach is based on the Caputo fractional derivatives. The general solution is based on fractional Bessel function attached to particular azimuthal and longitudal exponents. It is expanded in orthogonal basis and represented as complete set as well. Our solution could be used to theoretically describe fractional modes of Bessel Light as well as time-independent fractional diffusion.
- Published
- 2018
- Full Text
- View/download PDF
20. Addendum: Shqair, M., et al. Analytical Solution for Multi-Energy Groups of Neutron Diffusion Equations by a Residual Power Series Method. Mathematics 2019, 7, 633
- Author
-
Ahmad El-Ajou, Mohammed Shqair, and Mazen Nairat
- Subjects
Power series ,n/a ,lcsh:Mathematics ,General Mathematics ,Computer Science (miscellaneous) ,Addendum ,Neutron diffusion ,lcsh:QA1-939 ,Residual ,Engineering (miscellaneous) ,Energy (signal processing) ,Computational physics - Abstract
The authors wish to insert this additional sentence in the Acknowledgments section [...]
- Published
- 2019
- Full Text
- View/download PDF
21. Analytical Solution for Multi-Energy Groups of Neutron Diffusion Equations by a Residual Power Series Method
- Author
-
Ahmad El-Ajou, Mazen Nairat, and Mohammed Shqair
- Subjects
Power series ,Diffusion equation ,General Mathematics ,02 engineering and technology ,Residual ,01 natural sciences ,010305 fluids & plasmas ,law.invention ,radial flux ,law ,0103 physical sciences ,0202 electrical engineering, electronic engineering, information engineering ,Computer Science (miscellaneous) ,Neutron ,Boundary value problem ,Diffusion (business) ,Engineering (miscellaneous) ,Physics ,diffusion equation ,multi-group ,lcsh:Mathematics ,Mechanics ,Nuclear reactor ,lcsh:QA1-939 ,residual power series ,Criticality ,020201 artificial intelligence & image processing - Abstract
In this paper, a multi-energy groups of a neutron diffusion equations system is analytically solved by a residual power series method. The solution is generalized to consider three different geometries: slab, cylinder and sphere. Diffusion of two and four energy groups of neutrons is specifically analyzed through numerical calculation at certain boundary conditions. This study revels sufficient analytical description for radial flux distribution of multi-energy groups of neutron diffusion theory as well as determination of each nuclear reactor dimension in criticality case. The generated results are compatible with other different methods data. The generated results are practically efficient for neutron reactors dimension.
- Published
- 2019
- Full Text
- View/download PDF
Catalog
Discovery Service for Jio Institute Digital Library
For full access to our library's resources, please sign in.