Atay, Mehmet Tarık
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Atay, M. Tarik
Atay, Mehmet T.
Atay, Mehmet Tank
Atay, Mehmet Tarik
Atay, Mehmet Tarik Atay, M. Tarik
Atay, Mehmet Tarık
Atay, Mehmet T.
Atay, Mehmet Tank
Atay, Mehmet Tarik
Atay, Mehmet Tarik Atay, M. Tarik
Atay, Mehmet Tarık
Job Title
Doç. Dr.
Email Address
mehmettarik.atay@agu.edu.tr
Main Affiliation
02.01. Mühendislik Bilimleri
Status
Current Staff
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Sustainable Development Goals
SDG data is not available
Documents
32
Citations
380
h-index
9
Documents
32
Citations
332
Scholarly Output
17
Articles
12
Views / Downloads
304/13
Supervised MSc Theses
0
Supervised PhD Theses
0
WoS Citation Count
17
Scopus Citation Count
18
WoS h-index
2
Scopus h-index
3
Patents
0
Projects
0
WoS Citations per Publication
1.00
Scopus Citations per Publication
1.06
Open Access Source
6
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0
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| Journal | Count |
|---|---|
| AIP Conference Proceedings | 4 |
| Advances in Nano Research | 1 |
| Engineering Computations | 1 |
| Journal of Thermal Analysis and Calorimetry | 1 |
| Kuwait Journal of Science | 1 |
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Scholarly Output Search Results
Now showing 1 - 10 of 17
Conference Object Twist-Bend Instability of a Cantilever Beam Subjected to an End Load via Homotopy Perturbation Method(Amer Inst Physics, 2018) Yucesoy, Ahmet; Coskun, Safa Bozkurt; Atay, Mehmet TarikIn this article, twist-bend buckling analysis of a cantilever beam subjected to a concentrated end load is conducted using Homotopy Perturbation Method (HPM). Even in the linear stability analysis, obtaining an exact solution for some cases is not an easy task. However, by the use of HPM this difficulty can be overcome easily. This issue is presented with a case study and the results show that HPM can be used successfully in the analysis of twist-bend buckling of beams.Article On Critical Buckling Loads of Columns under End Load Dependent on Direction(Hindawi Publishing Corporation, 2014) Başbük, Musa; Eryılmaz, Aytekin; Atay, Mehmet TarikMost of the phenomena of various fields of applied sciences are nonlinear problems. Recently, various types of analytical approximate solution techniques were introduced and successfully applied to the nonlinear differential equations. One of the aforementioned techniques is the Homotopy analysis method (HAM). In this study, we applied HAM to find critical buckling load of a column under end load dependent on direction. We obtained the critical buckling loads and compared them with the exact analytic solutions in the literature.Article Citation - WoS: 2Citation - Scopus: 2Analysis of the Motion of a Rigid Rod on a Circular Surface Using Interpolated Variational Iteration Method(Yildiz Technical Univ, 2022) Coskun, Safa Bozkurt; Senturk, Erman; Atay, Mehmet TarikIn this paper, interpolated variational iteration method (IVIM) is applied to investigate the vibration period and steady-state response for the motion of rigid rod rocking back and forth on a circular surface without slipping. The problem can be considered as a strongly nonlinear oscillator. In this solution procedure, analytical variational iteration technique is utilized by evaluating the integrals numerically. The approximate analytical results produced by the presented method are compared with the other existing solutions available in the literature. The advantage of using numerical evaluation of integrals, the method becomes fast convergent and a highly accurate solution can be obtained within seconds. The authors believe that the presented technique has potentially wide application in the other nonlinear oscillation problems.Article Preface of Mini Symposia of 82-Statistical Methods and Applications in Engineering(American Institute of Physics Inc., 2018) Greenacre, Zerrin Aşan; Atay, Mehmet Tarık; Gazeloǧlu, CengizPreface of Mini Symposia of 82-Statistical Methods and Applications in EngineeringConference Object Citation - WoS: 2Citation - Scopus: 1The Numerical Solutions for Stiff Ordinary Differential Equations by Using Interpolated Variational Iteration Method With Comparison to Exact Solutions(Amer Inst Physics, 2018) Ciftci, Cihan; Cayci, Hatice Sinem Sas; Atay, Mehmet Tarik; Toker, Batuhan; Guncan, Berkay; Yildirim, Afsin TalhaRecently proposed Interpolated Variational Iteration Method (IVIM) is used to find numerical solutions of stiff ordinary differential equations for both linear and nonlinear problems. The examples are given to illustrate the accuracy and effectiveness of IVIM method and IVIM results are compared with exact results. In recent analytical approximate methods based studies related to stiff ordinary differential equations, problems were solved by Adomian Decomposition Method and VIM and Homotopy Perturbation Method, Homotopy Analysis Method etc. In this study comparisons with exact solutions reveal that the Interpolated Variational Iteration Method (IVIM) is easy to implement. In fact, this method is promising methods for various systems of linear and nonlinear stiff ordinary differential equations as an initial value problem. Furthermore, IVIM is giving very satisfactory solutions when compared to exact solutions for nonlinear cases depending on the stiffness ratio of the stiff system to be solved.Article On Critical Buckling Loads of Euler Columns With Elastic End Restraints(HİTİT ÜNİVERSİTESİ, 2016) Başbük, Musa; Eryılmaz, Aytekin; Coşkun, Sefa B.; Atay, Mehmet TarıkI n recent years, a great number of analytical approximate solution techniques have been introduced to find a solution to the nonlinear problems that arised in applied sciences. One of these methods is the homotopy analysis method (HAM). HAM has been successfully applied to various kinds of nonlinear differential equations. In this paper, HAM is applied to find buckling loads of Euler columns with elastic end restraints. The critical buckling loads obtained by using HAM are compared with the exact analytic solutions in the literature. Perfect match of the results veries that HAM can be used as an efficient, powerfull and accurate tool for buckling analysis of Euler columns with elastic end restraints.Article SUPS-Based Computational Investigation of Heat Transfer in a Nanofluid-Filled Cubic Enclosure With a Spherical Obstacle(Springer, 2025) Cengizci, Suleyman; Oztop, Hakan F.; Atay, M. TarikThis study investigates natural convection heat transfer through numerical simulations. The computational domain consists of a cubic enclosure filled with an Al2O3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {Al}_2\hbox {O}_3$$\end{document}-H2O\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {H}_2\hbox {O}$$\end{document} nanofluid, containing a concentric sphere that may be either heated or cooled. Various configurations are analyzed by varying the Rayleigh number (103 <= Ra <= 105\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$10<^>3 \le \text {Ra} \le 10<^>5$$\end{document}) and the nanoparticle volume fraction (0.01 <=phi <= 0.1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$0.01 \le \phi \le 0.1$$\end{document}). The governing equations comprise the unsteady incompressible Navier-Stokes equations coupled with the heat transport equation. The Boussinesq approximation is employed, treating the density as constant except in the buoyancy term. To mitigate numerical instabilities inherent in the classical Galerkin finite element method (GFEM), a stabilized finite element formulation, known as the SUPS, is implemented. This formulation incorporates the streamline-upwind and pressure-stabilizing mechanisms. The proposed computational framework and in-house parallel incompressible flow solvers are validated against established benchmark cases, demonstrating good agreement despite using unstructured tetrahedral meshes without adaptive refinement. For the considered flow domain, the stabilized method ensures accurate solution profiles without significant spurious oscillations while substantially reducing computational cost, as linear interpolation functions are sufficient. Findings indicate that increasing the nanoparticle volume fraction enhances velocity magnitudes and the overall heat transfer rate around the sphere. Additionally, a slight reduction in the average number of nonlinear iterations is observed, suggesting improved computational efficiency. These results emphasize the effectiveness of stabilized finite element formulations in accurately and efficiently simulating convection-driven flow phenomena.Article Citation - WoS: 2Citation - Scopus: 3An Asymptotic-Numerical Hybrid Method for Singularly Perturbed System of Two-Point Reaction-Diffusion Boundary-Value Problems(Tubitak Scientific & Technological Research Council Turkey, 2019) Cengizci, Suleyman; Natesan, Srinivasan; Atay, Mehmet TankThis article focuses on the numerical approximate solution of singularly perturbed systems of second-order reaction-diffusion two-point boundary-value problems for ordinary differential equations. To handle these types of problems, a numerical-asymptotic hybrid method has been used. In this hybrid approach, an efficient asymptotic method, the so-called successive complementary expansion method (SCEM) is employed first, and then a numerical method based on finite differences is applied to approximate the solution of corresponding singularly perturbed reaction-diffusion systems. Two illustrative examples are provided to demonstrate the efficiency, robustness, and easy applicability of the present method with convergence properties.Conference Object Haar Wavelet Collocation Method for Linear First Order Stiff Differential Equations(EDP Sciences, 2020) Atay, Mehmet Tarik; Mertaslan, Onur Metin; Agca, Musa Kasim; Yilmaz, Abdulkadir; Toker, BatuhanIn general, there are countless types of problems encountered from different disciplines that can be represented by differential equations. These problems can be solved analytically in simpler cases; however, computational procedures are required for more complicated cases. Right at this point, the wavelet-based methods have been using to compute these kinds of equations in a more effective way. The Haar Wavelet is one of the appropriate methods that belongs to the wavelet family using to solve stiff ordinary differential equations (ODEs). In this study, The Haar Wavelet method is applied to stiff differential problems in order to demonstrate the accuracy and efficacy of this method by comparing the exact solutions. In comparison, similar to the exact solutions, the Haar wavelet method gives adequate results to stiff differential problems.Article Citation - WoS: 1Magnus Series Expansion Method for Solving Nonhomogeneous Stiff Systems of Ordinary Differential Equations(Elsevier, 2016) Atay, Mehmet T.; Eryilmaz, Aytekin; Komez, SureIn this paper, Magnus Series Expansion Method, which is based on Lie Groups and Lie algebras is proposed with different orders to solve nonhomogeneous stiff systems of ordinary differential equations. Using multivariate Gaussian quadrature, fourth (MG4) and sixth (MG6) order method are presented. Then, it is applied to nonhomogeneous stiff systems using different step sizes and stiffness ratios. In addition, approximate and exact solutions are demonstrated with figures in detail. Moreover, absolute errors are illustrated with detailed tables.
