Ahmad Mohammad Qazza
@zu.edu.jo
Department of Mathematics
Zarqa University
EDUCATION
• Ph.D, Year 2000, Faculty of Mechanics and Mathematics, Department of Differential Equation, Kazan State University, Russia.
1) Degree Specialization: Differential equations.
2) Title of Ph.D. Thesis: Reduction of Dirichlet problem and its generalization for elliptical equations to the boundary problems for holomorphic function.
3) Thesis advisor: Professor Chibrikova L.I.
• M.Sc, Year 1996, Faculty of Mechanics and Mathematics, Department of Differential Equation, Kazan State University, Russia.
1) Degree Specialization: Differential equations.
2) Title of M.Sc., Thesis: The application of integral transformation by Mellin’s Nucleus in Bessel’s theory.
3) Thesis advisor: Professor Chibrikova L.I.
RESEARCH, TEACHING, or OTHER INTERESTS
Applied Mathematics, Mathematical Physics, Modeling and Simulation, Computational Mathematics
Scopus Publications
Scholar Citations
Scholar h-index
Scholar i10-index
Scopus Publications
K. Chandan, Rania Saadeh, Ahmad Qazza, K. Karthik, R. S. Varun Kumar, R. Naveen Kumar, Umair Khan, Atef Masmoudi, M. Modather M. Abdou, Walter Ojok,et al.
Springer Science and Business Media LLC
AbstractFins are widely used in many industrial applications, including heat exchangers. They benefit from a relatively economical design cost, are lightweight, and are quite miniature. Thus, this study investigates the influence of a wavy fin structure subjected to convective effects with internal heat generation. The thermal distribution, considered a steady condition in one dimension, is described by a unique implementation of a physics-informed neural network (PINN) as part of machine-learning intelligent strategies for analyzing heat transfer in a convective wavy fin. This novel research explores the use of PINNs to examine the effect of the nonlinearity of temperature equation and boundary conditions by altering the hyperparameters of the architecture. The non-linear ordinary differential equation (ODE) involved with heat transfer is reduced into a dimensionless form utilizing the non-dimensional variables to simplify the problem. Furthermore, Runge–Kutta Fehlberg’s fourth–fifth order (RKF-45) approach is implemented to evaluate the simplified equations numerically. To predict the wavy fin's heat transfer properties, an advanced neural network model is created without using a traditional data-driven approach, the ability to solve ODEs explicitly by incorporating a mean squared error-based loss function. The obtained results divulge that an increase in the thermal conductivity variable upsurges the thermal distribution. In contrast, a decrease in temperature profile is caused due to the augmentation in the convective-conductive variable values.
Mawada Ali, Salem Mubarak Alzahrani, Rania Saadeh, Mohamed A. Abdoon, Ahmad Qazza, Naseam Al-kuleab, and Fathelrhman EL Guma
Elsevier BV
Rania Saadeh, Mohamed A. Abdoon, Ahmad Qazza, Mohammed Berir, Fathelrhman EL Guma, Naseam Al-kuleab, and Abdoelnaser M Degoot
Elsevier BV
Abdulrahman B. M. Alzahrani, Rania Saadeh, Mohamed A. Abdoon, Mohamed Elbadri, Mohammed Berir, and Ahmad Qazza
Springer Science and Business Media LLC
Faeza Lafta Hasan, Mohamed A. Abdoon, Rania Saadeh, Ahmad Qazza, and Dalal Khalid Almutairi
American Institute of Mathematical Sciences (AIMS)
<abstract> <p>This paper introduces a pioneering exploration of the stochastic (2+1) dimensional breaking soliton equation (SBSE) and the stochastic fractional Broer-Kaup system (SFBK), employing the first integral method to uncover explicit solutions, including trigonometric, exponential, hyperbolic, and solitary wave solutions. Despite the extensive application of the Broer-Kaup model in tsunami wave analysis and plasma physics, existing literature has largely overlooked the complexity introduced by stochastic elements and fractional dimensions. Our study fills this critical gap by extending the traditional Broer-Kaup equations through the lens of stochastic forces, thereby offering a more comprehensive framework for analyzing hydrodynamic wave models. The novelty of our approach lies in the detailed investigation of the SBSE and SFBK equations, providing new insights into the behavior of shallow water waves under the influence of randomness. This work not only advances theoretical understanding but also enhances practical analysis capabilities by illustrating the effects of noise on wave propagation. Utilizing MATLAB for visual representation, we demonstrate the efficiency and flexibility of our method in addressing these sophisticated physical processes. The analytical solutions derived here mark a significant departure from previous findings, contributing novel perspectives to the field and paving the way for future research into complex wave dynamics.</p> </abstract>
Ahmad El-Ajou, Rania Saadeh, Moawaih Akhu Dunia, Ahmad Qazza, and Zeyad Al-Zhour
American Institute of Mathematical Sciences (AIMS)
<abstract> <p>Our aim of this paper was to present the accurate analytical approximate series solutions to the time-fractional Schrödinger equations via the Caputo fractional operator using the Laplace residual power series technique. Furthermore, three important and interesting applications were given, tested, and compared with four well-known methods (Adomian decomposition, homotopy perturbation, homotopy analysis, and variational iteration methods) to show that the proposed technique was simple, accurate, efficient, and applicable. When there was a pattern between the terms of the series, we could obtain the exact solutions; otherwise, we provided the approximate series solutions. Finally, graphical results were presented and analyzed. Mathematica software was used to calculate numerical and symbolic quantities.</p> </abstract>
Tareq Eriqat, Rania Saadeh, Ahmad El-Ajou, Ahmad Qazza, Moa'ath N. Oqielat, and Ahmad Ghazal
American Institute of Mathematical Sciences (AIMS)
<abstract><p>This paper aims to explore and examine a fractional differential equation in the fuzzy conformable derivative sense. To achieve this goal, a novel analytical algorithm is formulated based on the Laplace-residual power series method to solve the fuzzy conformable fractional differential equations. The methodology being used to discover the fuzzy solutions depends on converting the desired equations into two fractional crisp systems expressed in $ \\wp $-cut form. The main objective of our algorithm is to transform the systems into fuzzy conformable Laplace space. The transformation simplifies the system by reducing its order and turning it into an easy-to-solve algorithmic equation. The solutions of three important applications are provided in a fuzzy convergent conformable fractional series. Both the theoretical and numerical implications of the fuzzy conformable concept are explored about the consequential outcomes. The convergence analysis and theorems of the developed algorithm are also studied and analyzed in this regard. Additionally, this article showcases a selection of results through the use of both two-dimensional and three-dimensional graphs. Ultimately, the findings of this study underscore the efficacy, speed, and ease of the Laplace-residual power series algorithm in finding solutions for uncertain models that arise in various physical phenomena.</p></abstract>
V. S. Masih, R. Saadeh, M. Fardi, and A. Qazza
International Scientific Research Publications MY SDN. BHD.
Osama Ala'yed, Ahmad Qazza, Rania Saadeh, and Osama Alkhazaleh
American Institute of Mathematical Sciences (AIMS)
<abstract> <p>In the present study, we introduce a collocation approach utilizing quintic B-spline functions as bases for solving systems of Lane Emden equations which have various applications in theoretical physics and astrophysics. The method derives a solution for the provided system by converting it into a set of algebraic equations with unknown coefficients, which can be easily solved to determine these coefficients. Examining the convergence theory of the proposed method reveals that it yields a fourth-order convergent approximation. It is confirmed that the outcomes are consistent with the theoretical investigation. Tables and graphs illustrate the proficiency and consistency of the proposed method. Findings validate that the newly employed method is more accurate and effective than other approaches found in the literature. All calculations have been performed using Mathematica software.</p> </abstract>
Rania Saadeh, Shams A. Ahmed, Ahmad Qazza, and Tarig M. Elzaki
Elsevier BV
Aliaa Burqan, Rania Saadeh, Ahmad Qazza, and Ahmad El-Ajou
Springer Science and Business Media LLC
Ayman Hazaymeh, Ahmad Qazza, Raed Hatamleh, Mohammad W. Alomari, and Rania Saadeh
MDPI AG
This paper introduces several generalized extensions of some recent numerical radius inequalities of Hilbert space operators. More preciously, these inequalities refine the recent inequalities that were proved in literature. It has already been demonstrated that some inequalities can be improved or restored by concatenating some into one inequality. The main idea of this paper is to extend the existing numerical radius inequalities by providing a unified framework. We also present a numerical example to demonstrate the effectiveness of the proposed approach. Roughly, our approach combines the existing inequalities, proved in literature, into a single inequality that can be used to obtain improved or restored results. This unified approach allows us to extend the existing numerical radius inequalities and show their effectiveness through numerical experiments.
Ayman Hazaymeh, Rania Saadeh, Raed Hatamleh, Mohammad W. Alomari, and Ahmad Qazza
MDPI AG
In this work, a perturbed Milne’s quadrature rule for n-times differentiable functions with Lp-error estimates is derived. One of the most important advantages of our result is that it is verified for p-variation and Lipschitz functions. Several error estimates involving Lp-bounds are proven. These estimates are useful if the fourth derivative is unbounded in L∞-norm or the Lp-error estimate is less than the L∞-error estimate. Furthermore, since the classical Milne’s quadrature rule cannot be applied either when the fourth derivative is unbounded or does not exist, the proposed quadrature could be used alternatively. Numerical experiments showing that our proposed quadrature rule is better than the classical Milne rule for certain types of functions are also provided. The numerical experiments compare the accuracy of the proposed quadrature rule to the classical Milne rule when approximating different types of functions. The results show that, for certain types of functions, the proposed quadrature rule is more accurate than the classical Milne rule.
Laith Hawawsheh, Ahmad Qazza, Rania Saadeh, Amjed Zraiqat, and Iqbal M. Batiha
MDPI AG
In this paper, we study a class of spherical integral operators IΩf. We prove an inequality that relates this class of operators with some well-known Marcinkiewicz integral operators by using the classical Hardy inequality. We also attain the boundedness of the operator IΩf for some 1<p<2 whenever Ω belongs to a certain class of Lebesgue spaces. In addition, we introduce a new proof of the optimality condition on Ω in order to obtain the L2-boundedness of IΩ. Generally, the purpose of this work is to set up new proofs and extend several known results connected with a class of spherical integral operators.
Tariq Qawasmeh, Ahmad Qazza, Raed Hatamleh, Mohammad W. Alomari, and Rania Saadeh
MDPI AG
The goal of this study is to refine some numerical radius inequalities in a novel way. The new improvements and refinements purify some famous inequalities pertaining to Hilbert space operators numerical radii. The inequalities that have been demonstrated in this work are not only an improvement over old inequalities but also stronger than them. Several examples supporting the validity of our results are provided as well.
Shams A. Ahmed, Rania Saadeh, Ahmad Qazza, and Tarig M. Elzaki
Elsevier BV
Ahmad Qazza
New York Business Global LLC
This research article demonstrates an efficient method for solving partial integro-differential equations. The intention of this research is to establish the solution of some different classes of integral equations, by utilizing the double Laplace ARA transform. We present some definitions and basic concepts related to the double Laplace ARA transform. The results of the examples support the theoretical results and show the accuracy and applicability of the presented approach.
Rania Saadeh, Ahmad Qazza, Aliaa Burqan, and Dumitru Bleanu
New York Business Global LLC
In this article, a new effective technique is implemented to solve families of nonlinear partial differential equations (NLPDEs). The proposed method combines the double ARA-Sumudu transform with the numerical iterative method to get the exact solutions of NLPDEs. The successive iterative method was used to find the solution of nonlinear terms of these equations. In order to show the efficiency and applicability of the presented method, some physical applications are analyzed and illustrated, and to defend our results, some numerical examples and figures are discussed.
Ahmad Qazza, Mohamed Abdoon, Rania Saadeh, and Mohammed Berir
New York Business Global LLC
The subject of this study is the solution of a fractional Bernoulli equation and a chaotic system by using a novel scheme for the fractional derivative and comparison of approximate and exact solutions. It is found that the suggested method produces solutions that are identical to the exact solution. We can therefore generalize the strategy to different systems to get more accurate results. We think that the novel fractional derivative scheme that has been offered and the algorithm that has been suggested will be utilized in the future to construct and simulate a variety of fractional models that can be used to solve more difficult physics and engineering challenges.
Aliaa Burqan, Hamdan Dbabesh, Ahmad Qazza, and Mona Khandaqji
New York Business Global LLC
We employ several numerical radius inequalities to the square of the Frobenius companion matrices of monic matrix polynomials to provide new bounds for the eigenvalues of these polynomials.
Rania Saadeh, Mohamed A. Abdoon, Ahmad Qazza, and Mohammed Berir
MDPI AG
In this article, the numerical adaptive predictor corrector (Apc-ABM) method is presented to solve generalized Caputo fractional initial value problems. The Apc-ABM method was utilized to establish approximate series solutions. The presented technique is considered to be an extension to the original Adams–Bashforth–Moulton approach. Numerical simulations and figures are presented and discussed, in order to show the efficiency of the proposed method. In the future, we anticipate that the provided generalized Caputo fractional derivative and the suggested method will be utilized to create and simulate a wide variety of generalized Caputo-type fractional models. We have included examples to demonstrate the accuracy of the present method.