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Global Piecewise Analysis of HIV Model with Bi-Infectious Categories under Ordinary Derivative and Non-Singular Operator with Neural Network Approach

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Computer Modeling in Engineering & sciences 2025年第1期142卷 609-633页

作者： Ghaliah Alhamzi Badr Saad TAlkahtani Ravi Shanker Dubey Mati ur Rahman department of mathematics and Statistics College of ScienceImam Mohammad Ibn Saud Islamic University(IMSIU)Riyadh13318Saudi Arabia department of mathematics College of ScienceKing Saud UniversityRiyadh11989Saudi Arabia department of mathematics Amity School of Applied SciencesAmity University RajasthanJaipur302002India School of Mathematical sciences Jiangsu UniversityZhenjiang212013China department of Computer science and mathematics Lebanese American UniversityBeirut13-5053Lebanon

This study directs the discussion of HIV disease with a novel kind of complex dynamical generalized and piecewise operator in the sense of classical and Atangana Baleanu(AB)derivatives having arbitrary *** HIV infection model has a susceptible class,a recovered class,along with a case of infection divided into three sub-different levels or categories and the recovered *** total time interval is converted into two,which are further investigated for ordinary and fractional order operators of the AB derivative,*** proposed model is tested separately for unique solutions and existence on bi *** numerical solution of the proposed model is treated by the piece-wise numerical iterative scheme of Newtons *** proposed method is established for piece-wise derivatives under natural order and non-singular Mittag-Leffler *** cross-over or bending characteristics in the dynamical system of HIV are easily examined by the aspect of this research having a memory effect for controlling the said *** study uses the neural network(NN)technique to obtain a better set of weights with low residual errors,and the epochs number is considered *** obtained figures represent the approximate solution and absolute error which are tested with NN to train the data accurately.

关键词： HIV infection model qualitative scheme approximate solution piecewise global operator neural network

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Model of fractured medium and nondestructive control of composite materials

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Chinese Journal of Aeronautics 2024年第2期37卷 93-99页

作者： Vasily GOLUBEV Ilia NIKITIN Katerina BEKLEMYSHEVA department of computers science and numerical mathematics Moscow Institute of Physics and TechnologyDolgoprudny 141700Russia Mathematical Modeling and Management Department of InformatizationInstitute of Computer Aided Design RASMoscow 123056Russia

Non-destructive testing of composites is an important issue in the modern aircraft *** are susceptible to the barely visible impact damage which can affect the residual strength of the material and occurs both during production and *** continuum model for describing the damaged zone is *** slip theory relations used for a continuous distribution of slip planes are *** the initial stage,the isotropic background model is *** model allows the material slippage along the fractures based on the Coulomb friction law with the small viscous *** this regime,the govern system of equations becomes *** overcome this difficulty,the explicit-implicit grid-characteristic scheme is *** standard ultrasound diagnostic procedure of damaged composite materials is successfully *** with the trivial free-surface fracture model,different reactions on the compression and stretch waves are *** approach provided an effective way for the simulation of complex dynamic behavior of damage zones.

关键词： Non-destructive testing Composite materials numerical modeling Continuum model Grid-characteristic method

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Hydromagnetic flow of a Cu water nanofluid past a moving wedge with viscous dissipation

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Chinese Physics B 2014年第4期23卷 365-372页

作者： A.M.Salem Galal Ismail Rania Fathy department of mathematics Faculty of Science and Arts Qassim University department of Basic science Faculty of Computers and Informatics Suez Canal University department of mathematics Faculty of Science Zagazig University

A numerical study is performed to investigate the flow and heat transfer at the surface of a permeable wedge immersed in a copper （Cu）-water-based nanofluid in the presence of magnetic field and viscous dissipation using a nanofluid model proposed by Tiwari and Das （Tiwari I K and Das M K 2007 Int. J. HeatMass Transfer 50 2002）. A similarity solution for the transformed governing equation is obtained, and those equations are solved by employing a numerical shooting technique with a fourth-order Runge-Kutta integration scheme. A comparison with previously published work is carried out and shows that they are in good agreement with each other. The effects of velocity ratio parameter ~, solid volume fraction tp, magnetic field M, viscous dissipation Ec, and suction parameter Fw on the fluid flow and heat transfer characteristics are discussed. The unique and dual solutions for self-similar equations of the flow and heat transfer are analyzed numerically. Moreover, the range of the velocity ratio parameter for which the solution exists increases in the presence of magnetic field and suction parameter.

关键词： nanofluid dual solution magnetic field viscous dissipation

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Characteristic Mode Design of Dual-Band Reconfigurable Frequency Selective Surface

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Chinese Journal of Electronics 2022年第6期31卷 1129-1137页

作者： NING Zihao LI Mengmeng DING Dazhi AI Xia LIU Jiaqi department of Communication Engineering Nanjing University of Science and Technology National Key Laboratory of science and Technology on Test Physics and numerical mathematics

In this paper, a characteristic mode design of dual-band reconfigurable frequency selective surface(RFSS) with transmission/reflection band is presented. Through the visualization of modal behavior, the theory of characteristic modes(TCM) is used to guide design from a physical perspective. At first, the dominant modes of two basic structures that have a major impact on reflection are clarified by observing the modal *** appropriate combination of the two structures forms an initial element with bandpass properties. Then, the positive-intrinsic-negative(PIN) diode is placed in the middle of the microstrip line and as the state shifts from ON to OFF, the dominant mode resonant frequency of the microstrip line shifts upward. Such a feature can be used to design the transmission/reflection RFSS. Experimentally, a dual-band RFSS operating at 8.8 GHz and 10.4 GHz is designed and fabricated. The measured results that agree with the full-wave simulation validate the proposed TCM-based design.

关键词： dual-band reconfigurable frequency selective surface dual-band RFSS positive-intrinsic-negative diode theory of characteristic modes characteristic mode design full-wave simulation transmission band p-i-n diodes modal behavior visualization bandpass properties microstrip lines microstrip line dominant mode resonant frequency PIN diode microwave filters frequency selective surfaces TCM-based design reflection band transmission RFSS microwave diodes band-pass filters microstrip filters reflection RFSS

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Dental Age Estimation Based on X-ray Images

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computers, Materials & Continua 2020年第2期62卷 591-605页

作者： Noor Mualla Essam H Houssein M.R.Hassan Computer science Branch Mathematics DepartmentFaculty of ScienceAswan UniversityAswanEgypt department of Computer science Faculty of Computers and InformationMinia UniversityMinyaEgypt

Chronological age estimation using panoramic dental X-ray images is an essential task in forensic *** statistical approaches have proposed by considering the teeth and ***,building automated dental age estimation based on machine learning techniques needs more research *** this paper,an automated dental age estimation is proposed using transfer *** the proposed approach,features are extracted using two deep neural networks namely,AlexNet and *** classifiers are proposed to perform the classification task including decision tree,k-nearest neighbor,linear discriminant,and support vector *** proposed approach is evaluated using a number of suitable performance metrics using a dataset that contains 1429 dental X-ray *** obtained results show that the proposed approach has a promising performance.

关键词： Classification dental age estimation transfer learning X-ray images

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A NEW APPROACH AND ERROR ANALYSIS FOR RECONSTRUCTING THE SCATTERED WAVE BY THE POINT SOURCE METHOD

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Journal of Computational mathematics 2007年第2期25卷 113-130页

作者： Jijun Liu Gen Nakamura Roland Potthast department of mathematics Southeast University Nanjing 210096 China department of mathematics Graduate School of Science Hokkaido University Sapporo 060-0810 Japan Institute for numerical and Applied mathematics University of Gottingen Lotzestr 16-1837085 Gottingen Germany

Consider an inverse scattering problem by an obstacle D belong to R^2 with impedance boundary. We investigate the reconstruction of the scattered field u^s from its far field pattern u^∞ using the point source method. First, by applying the boundary integral equation method, we provide a new approach to the point-source method of Potthast by classical potential theory. This extends the range of the point source method from plane waves to scattering of arbitrary waves. Second, by analyzing the behavior of the Hankel function, we obtain an improved strategy for the choice of the regularizing parameter from which an improved convergence rate （compared to the result of [15]） is achieved for the reconstruc- tion of the scattered wave. Third, numerical implementations are given to test the validity and stability of the inversion method for the impedance obstacle.

关键词： Inverse scattering Regularization Error estimate Numerics

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A ROUGH SET APPROACH TO FEATURE SELECTION BASED ON SCATTER SEARCH METAHEURISTIC

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Journal of Systems science & Complexity 2014年第1期27卷 157-168页

作者： WANG Jue ZHANG Qi ABDEL-RAHMAN Hedar ABDEL-MONEM M Ibrahim Center for Forecasting science Academy of Mathematics and System Science Chinese Academy of ScienceBeijing 100190 China. department of Computer science Faculty of Computers and Information Assiut University Assiut 71516Egypt.

Rough set theory is an effective method to feature selection, which has recently fascinated many researchers. The essence of rough set approach to feature selection is to find a subset of the original features. It is, however, an NP-hard problem finding a minimal subset of the features, and it is necessary to investigate effective and efficient heuristic algorithms. This paper presents a novel rough set approach to feature selection based on scatter search metaheuristic. The proposed method, called scatter search rough set attribute reduction （SSAR）, is illustrated by 13 well known datasets from UCI machine learning repository. The proposed heuristic strategy is compared with typical attribute reduction methods including genetic algorithm, ant colony, simulated annealing, and Tabu search. Computational results demonstrate that our algorithm can provide efficient solution to find a minimal subset of the features and show promising and competitive performance on the considered datasets.

关键词： Attribute reduction computational intelligence metaheuristics rough set scatter search.

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THE KILLING FORMS AND DECOMPOSITION THEOREMS OF LIE SUPERTRIPLE SYSTEMS

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Acta Mathematica Scientia 2009年第2期29卷 360-370页

作者：张知学贾培佩 Institute of mathematics and computers Hebei University Fundamental department Hebei College of Finance

In this article, the Killing form of a Lie supertriple system （LSTS） and that of its imbedding Lie superalgebra （LSA） are investigated, and a unique decomposition theorem for a quasiclassical LSTS with trivial cen... 详细信息

关键词： Killing form Lie supertriple system quasiclassical

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Effects of rotation and magnetic field on the nonlinear peristaltic flow of a second-order fluid in an asymmetric channel through a porous medium

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Chinese Physics B 2013年第7期22卷 303-313页

作者： A. M. Abd-Alla S. M. Abo-Dahab H. D. El-Shahrany department of mathematics Faculty of ScienceTaif University department of mathematics Faculty of Science department of mathematics Faculty of ScienceSouth Valley University

In this paper, the effects of both rotation and magnetic field of the peristaltic transport of a second-order fluid through a porous medium in a channel are studied analytically and computed numerically. The material is represented by the constitutive equations for a second-order fluid. Closed-form solutions under the consideration of long wavelength and low Reynolds number is presented. The analytical expressions for the pressure gradient, pressure rise, friction force, stream function, shear stress, and velocity are obtained in the physical domain. The effects of the non-dimensional wave amplitude, porosity, magnetic field, rotation, and the dimensionless time-mean flow in the wave frame are analyzed theoretically and computed numerically. numerical results are given and illustrated graphically in each case considered. Comparison was made with the results obtained in the presence and absence of rotation, magnetic field, and porosity. The results indicate that the effects of the non-dimensional wave amplitude, porosity, magnetic field, rotation, and the dimensionless time-mean flow are very pronounced in the phenomena.

关键词： peristaltic flow second-order fluid magnetic field porous medium

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Deep Reinforcement Learning-Based Job Shop Scheduling of Smart Manufacturing

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computers, Materials & Continua 2022年第12期73卷 5103-5120页

作者： Eman K.Elsayed Asmaa K.Elsayed Kamal A.Eldahshan School of computers science Canadian International College(CIC).Department of MathematicsFaculty of Science(Girls)AL-Azhar UniversityCairo11511Egypt department of mathematics Faculty of Science(Girls)AL-Azhar UniversityCairo11511Egypt department of mathematics Faculty of ScienceAL-Azhar UniversityCairo11511Egypt

Industry 4.0 production environments and smart manufacturing systems integrate both the physical and decision-making aspects of manufacturing operations into autonomous and decentralized *** of the key aspects of these systems is a production planning,specifically,Scheduling operations on the *** cope with this problem,this paper proposed a Deep Reinforcement Learning with an Actor-Critic algorithm(DRLAC).We model the Job-Shop Scheduling Problem(JSSP)as a Markov Decision Process(MDP),represent the state of a JSSP as simple Graph Isomorphism Networks(GIN)to extract nodes features during scheduling,and derive the policy of optimal scheduling which guides the included node features to the best next action of *** addition,we adopt the Actor-Critic(AC)network’s training algorithm-based reinforcement learning for achieving the optimal policy of the *** prove the proposed model’s effectiveness,first,we will present a case study that illustrated a conflict between two job scheduling,secondly,we will apply the proposed model to a known benchmark dataset and compare the results with the traditional scheduling methods and trending *** numerical results indicate that the proposed model can be adaptive with real-time production scheduling,where the average percentage deviation(APD)of our model achieved values between 0.009 and 0.21 comparedwith heuristic methods and values between 0.014 and 0.18 compared with other trending approaches.

关键词： Reinforcement learning job shop scheduling graphical isomorphism network actor-critic networks

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