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A Collocation Technique via Pell-Lucas Polynomials to Solve Fractional Differential Equationmodel for HIV/AIDS with Treatment Compartment

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Computer modeling in Engineering & Sciences 2024年第10期141卷 281-310页

作者： Gamze yıldırım Suayip yüzbası Department of mathematics Faculty of ScienceAkdeniz UniversityAntalya07058Turkey Department of mathematics Faculty of Basic ScienceGebze Technical UniversityKocaeli41400Turkey Department of mathematics Faculty of ScienceBartın UniversityBartın74100Turkey

In this study,a numerical method based on the Pell-Lucas polynomials(PLPs)is developed to solve the fractional order HIV/AIDS epidemic model with a treatment *** HIV/AIDS mathematical model with a treatment compartment is divided into five classes,namely,susceptible patients(S),HIV-positive individuals(I),individuals with full-blown AIDS but not receiving ArV treatment(A),individuals being treated(T),and individuals who have changed their sexual habits sufficiently(r).According to the method,by utilizing the PLPs and the collocation points,we convert the fractional order HIV/AIDS epidemic model with a treatment compartment into a nonlinear system of the algebraic ***,the error analysis is presented for the Pell-Lucas approximation *** aim of this study is to observe the behavior of five populations after 200 days when drug treatment is applied to HIV-infectious and full-blown AIDS *** demonstrate the usefulness of this method,the applications are made on the numerical example with the help of *** addition,four cases of the fractional order derivative(p=1,p=0.95,p=0.9,p=0.85)are examined in the range[0,200].Owing to applications,we figured out that the outcomes have quite decent ***,we understand that the errors decrease when the value of N *** figures in this study are created in *** outcomes indicate that the presented method is reasonably sufficient and correct.

关键词： Collocation method fractional differential equations HIV/AIDS epidemic model Pell-Lucas polynomials

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Neotethyan Evolution of the Ankara mélange, Turkey: An Intraoceanic Subduction-Accretion System

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Acta Geologica Sinica(English Edition) 2015年第S2期 9-9页

作者： Ender Sar?fak?o?lu y?ld?r?m dilek mustafa Sevin General Directorate of mineral research & Exploration Geology Department miami University Dept. of Geology and Env. Earth Science

We report here new geochemical and geochronological data from mafic-ultramafic rock suites in the Ankara mélange in north-central Turkey,and present a new tectonic model for its *** as one of most important relics of...

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Logical Image Acquisition and Analysis of Android Smartphones

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Journal of Computer and Communications 2024年第4期12卷 139-152页

作者： Nursel yalçın Tayfun yıldırım Department of Computer and Instructional Technologies Education Faculty of Education Gazi University Ankara T&#252rkiye Department of Computer Forensics Institute of Informatics Gazi University Ankara T&#252rkiye

Android smartphones largely dominate the smartphone market. For this reason, it is very important to examine these smartphones in terms of digital forensics since they are often used as evidence in trials. It is possible to acquire a physical or logical image of these devices. Acquiring physical and logical images has advantages and disadvantages compared to each other. Creating the logical image is done at the file system level. Analysis can be made on this logical image. Both logical image acquisition and analysis of the image can be done by software tools. In this study, the differences between logical image and physical image acquisition in Android smartphones, their advantages and disadvantages compared to each other, the difficulties that may be encountered in obtaining physical images, which type of image contributes to obtaining more useful and effective data, which one should be preferred for different conditions, and the benefits of having root authority are discussed. The practice of getting the logical image of the Android smartphones and making an analysis on the image is also included. Although root privileges are not required for logical image acquisition, it has been observed that very limited data will be obtained with the logical image created without root privileges. Nevertheless, logical image acquisition has advantages too against physical image acquisition.

关键词： Android Smartphone Forensics Data Acquisition Data Analysis root Privileges Digital Forensics

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multiple exp-function method for soliton solutions of nonlinear evolution equations

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Chinese Physics B 2017年第7期26卷 20-26页

作者： yakup yιldιrιm Emrullah yasar Department of mathematics Faculty of Arts and Sciences Uludag University

We applied the multiple exp-function scheme to the（2＋1）-dimensional Sawada-Kotera（SK） equation and（3＋1）-dimensional nonlinear evolution equation and analytic particular solutions have been deduced. The analytic particular solutions contain one-soliton, two-soliton, and three-soliton type solutions. With the assistance of maple, we demonstrated the efficiency and advantages of the procedure that generalizes Hirota＇s perturbation scheme. The obtained solutions can be used as a benchmark for numerical solutions and describe the physical phenomena behind the model.

关键词： (2+1)-dimensional Sawada-Kotera(SK) equation (3+1)-dimensional nonlinear evolution equation(NLEE) multiple exp-function method multiple wave solutions

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Heating rate effects for the melting transition of Pt-Ag-Au nanoalloys

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Chinese Physics B 2021年第10期30卷 638-644页

作者： Huseyin yıldırım Ali Kemal Garip yenice Vocational School Karabuk UniversityKarabukTurkey Department of Physics Zonguldak Bulent Ecevit UniversityZonguldakTurkey

The classical molecular dynamics simulations in canonical NVT ensemble conditions are used to investigate the melting transition in different heating rates of Pt-Ag-Au ternary *** order to obtain the initial configurations used in the molecular dynamics simulations,optimizing the chemical ordering of Pt_(13)AgnAu_(42−n)(n=0-42)ternary nanoalloys was performed using the Basin-Hopping algorithm which would not allow changes in the icosahedron *** Gupta many-body potential was used to model interatomic interactions in both molecular dynamics simulations and optimization *** melting transitions of selected Pt-Ag-Au nanoalloys were explored using caloric curves and Lindemann *** have been two identified types of melting mechanisms,one includes sudden jump behavior in the caloric curve and the other is an isomerization while melting *** temperature range in which the isomerization takes place depends on the heating rate value.

关键词： chemical ordering melting optimization nanoalloys

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ma’s Variation of Parameters method for Fisher’s Equations

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Advances in Applied mathematics and mechanics 2010年第3期2卷 379-388页

作者： Syed Tauseef mohyud-Din Ahmet yıldırım HITEC University Taxila Cantt Pakistan Ege University Department of Mathematics35100 Bornova-IzmirTurkey

In this paper,we apply ma’s variation of parameters method(VPm)for solving Fisher’s *** suggested algorithm proved to be very efficient and finds the solution without any discretization,linearization,perturbation or... 详细信息

关键词： Variation of parameters method variational iteration method nonlinear problems Fisher’s equation nonlinear diffusion equation error estimates

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Gingival unit transfer using in the miller Ⅲ recession defect treatment

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World Journal of Clinical Cases 2015年第2期3卷 199-203页

作者： Selin y?ld?r?m Bahar Kuru Department of Periodontology Dental FacultyMarmara University

The most significant factor for the success in soft tissue grafts is the synergistic relation between vascular configuration and involved tissues. In the soft tissue graft procedures, site specific donor tissue is assumed to have improved potential for function and aesthetic survive at recipient sites. On a clinical level, using site specific gingival unit graft that placed on traditionally prepared recipient site, results in predictable root coverage. In this case report the clinical effectiveness of gingival unit transfer(GUT) technique performed on miller Ⅲ recession was presented and a similar recession case treated with free gingival graft(FGG) technique for comparison. Probing depth, recession depth, keratinized tissue width and clinical attachment level clinical parameters were measured at baseline and postoperative 8 mo. Percentage of defect coverage was evaluated at postoperative 8 mo. Creeping attachment was assessed at postoperative 1, 3, 6 and 8 mo. The GUT revealed better defect coverage and creeping attachment results than the FGG in the treatment of miller Ⅲ defects.

关键词： Autografting Gingiva Gingival recession Tooth root Transplants

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Grids of stellar models including second harmonic and colors:solar composition(Z = 0.0172,X = 0.7024)

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research in Astronomy and Astrophysics 2015年第12期15卷 2244-2262页

作者： mutlu y?ld?z Ege University Department of Astronomy and Space Sciences

Grids of stellar evolution omy/astrophysics, such as planet hosting are required in many fields of astron- stars, binaries, clusters, chemically peculiar stars, etc. In this study, a grid of stellar evolution models with updated ingredients and recently determined solar abundances is presented. The solar values for the initial abundances of hydrogen, heavy elements and mixing-length parameter are 0.0172, 0.7024 and 1.98, respectively. The mass step is small enough （0.01 m） that interpolation for a given star mass is not required. The range of stellar mass is 0.74 to 10.00m. We present results in different forms of tables for easy and general appli- cation. The second stellar harmonic, required for analysis of apsidal motion of eclips- ing binaries, is also listed. We also construct rotating models to determine the effect of rotation on stellar structure and derive fitting formulae for luminosity, radius and the second harmonic as a function of rotational parameter. We also compute and list colors and bolometric corrections of models required for transformation between theo- retical and observational results. The results are tested for the Sun, the Hyades cluster, the slowly rotating chemically peculiar Am stars and eclipsing binaries with apsidal motion. The theoretical and observational results along isochrones are in good agree- ment. The grids are also applicable to rotating stars provided that equatorial velocity is given.

关键词： stars: interior -- stars: evolution -- binaries: eclipsing -- stars: chemi-cally peculiar

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Photometric Investigation of Contact Binary Dy Cet Based on TESS Data

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research in Astronomy and Astrophysics 2022年第5期 123-130页

作者： m.F.y?ld?r?m ?anakkale Onsekiz mart University Astrophysics Research Center and Ulup?nar Observatory ?anakkale Onsekiz mart University Department of Electricity and Energy ?an Vocational School

We present a photometric analysis of the Transiting Exoplanet Survey Satellite（TESS） light curve of contact binary system Dy Cet and the behavior of its orbital period *** light curve and published radial velocity data analysis was performed using the Wilson-Devinney *** a result of simultaneous analysis of the light curve with radial velocity data,the masses and radii of the system’s components were determined as m=1.55±0.02 m,m=0.55 ± 0.01 mand r= 1.51 ±0.02 r,r=0.95 ± 0.02 r,*** degree of contact（f） and mass ratio（q） of the system were determined as 23% and 0.355 ± 0.012,*** period analysis of Dy Cet was conducted for the first time in this *** was observed that the orbital period has a sinusoidal change with decreasing *** explain the orbital period change,mass transfer between components is proposed with the assumption of conservative mass,and the transfer rate was calculated to be dm/dt= 1.1 × 10myr.A possible third component is suggested for explaining the sinusoidal change,and the mass of the unseen component was determined as 0.13 *** age of the Dy Cet system was estimated as 3.77 Gyr.

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HOldITCH THEOrEm FOr THE CLOSED SPACE CUrVES IN LOrENTZIAN 3-SPACE

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Acta mathematica Scientia 2011年第1期31卷 172-180页

作者： Handan yιldιrιm Salim yce Nuri Kuruoglu Department of mathematics Faculty of Science stanbul University Department of mathematics Faculty of Arts and Science Yιldιz Technical University Department of mathematics and Computer Sciences Bahesehir University Faculty of Arts and Science Besiktas 34100 stanbul Turkey

In this article, we give the area formula of the closed projection curve of a closed space curve in Lorentzian 3-space L3. For the 1-parameter closed Lorentzian space motion in L3, we obtain a Holditch Theorem taking into account the Lorentzian matrix multiplication for the closed space curves by using their othogonal projections onto the Euclidean plane in the fixed Lorentzian space. moreover, we generalize this Holditch Theorem for noncollinear three fixed points of the moving Lorentzian space and any other fixed point on the plane which is determined by these three fixed points.

关键词： Lorentzian matrix multiplication Lorentzian motion Holditch Theorem orthogonal projection area

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